Long ago, there was a prince called Prince Eric. He owned x number of plots, each plot containing x number of castles. One day, he decided to conquer more plots to build castles and went riding to battle with his army. He then conquered 8 more plots with x number of castles in them. He then thought he was the strongest and attacked the strongest kingdom ever, King Mukund’s. But the king routed the prince’s army twice, each one for one plot. When added up the initial castles and the new additions and losses, the prince had seven left. How many did the castles prince start out with?
Pou had a certain amount of marshmallows. When Lou came over, he brought the same amount of snacks that Pou had. However, when the bully, Boo came over, he took 6 away from Pou and Lou. How many did Pou and Lou have?
One day, Emily asked Helena over to her house for some fruit pudding while her parents were away on a date. When Helena went to Emily’s house, she was surprised to see that there were more people invited to Emily’s house. Emily asked Helena to help her make the fruit puddings. The total weight of fruit pudding made was 95g. One bowl of fruit could be used to make the amount of pudding one person would eat, which consists of a certain number of strawberries and four slices of peaches. The number of people who wanted pudding, which was everyone in the house, was the same number as strawberries. If one strawberry weighed 3g, and one peach weighed 1g, how many strawberries were used in total, and how many people were invited to Emily’s house?
(solution) x=number of strawberries, x-1=total number of people invited to Emily’s house x(3x+4)=95 3x^2+4x-95=0 (3x+19)(x-5)=0 x=-19/3 or 5 -19/3 cannot be the answer because the number of people or strawberries cannot be a negative nor a fraction, and thus, x is 5.
(answer) number of strawberries used in total=5 x 5 = 25(strawberries) number of people invited to Emily’s house= 5 - 1 = 4(people)
On a random school night, Chloe got bored so she decided to throw a sleepover at her house. When all of Chloe’s friends arrived, they decided to eat some popcorn. There were a total of 44 pieces of popcorn in the bowl at the start of the movie, and none left when the movie finished. If each person ate one less than three times the amount of people there were in the sleepover, how many people were there at Chloe’s sleepover not including Chloe?
x represents the amount of people there are at Chloe’s sleepover 44 represents the number of popcorn pieces eaten
x(3x-1)= 44 3x^2-x-44=0 (3x+11)(x-4)=0 x= -3/11 or 4 *Since the amount of people cannot be a negative nor fractional number, x has to equal 4.
1st draft Kevin had a certain number of cookies in his bag and he puts four more inside. After this Jinmo buys him the original amount of cookie Kevin had, before he put four more cookies inside. The total product of cookies was 21, how many cookies did Kevin have in the beginning.
1st draft Kevin had a certain number of cookies in his bag and he puts four more inside. After this Jinmo buys him the original amount of cookie Kevin had, before he put four more cookies inside. The total product of cookies was 21, how many cookies did Kevin have in the beginning.
x(x+4) =21 x^2 + 4x = 21 x^2 +4x -21 = 0 (x+7) (x-3) = 0 x= -7 or 3 The answer is 3
Selena got x number of cards for valentine’s day. Katelin got two more cards than Selena. Katelin was bored so she multiplied the number of cards she got with Selena’s cards. The product was 90. How many cards did each have?
Selena got x number of cards for valentine’s day. Katelin got one more card than Selena. Katelin was bored so she multiplied the number of cards she got with Selena’s cards. The product was 90. How many cards did each have?
Pou made an agreement with Lou. For the next certain amount of days, Lou will deliver a certain amount of sushi to Pou. The amount of days is same as the amount of sushi Lou delivers each day. Lou likes Pou, so Lou gave an extra sushi to Pou for each delivery.
x(x+1)
Pou also likes Lou so he collects the sushi Lou delivers without eating any. (Gross!) The total amount that Pou had after the delivery season ended was 90.
x(x+1)=90 x2+x-90=0 (x-9)(x+10)=0
The amount of sushi delivered=9 The days the sushi was delivered=9
Benjamin Franklin had a certain amount of suits and a certain amount of wigs. The number of wigs he had were 1 more than the number of suits he had. If the number of possible combinations that Ben can wear is 600, how many suits and wigs does he have? x(x+1)=600 x2+x=600 x2+x-600=0 (x-24) (x+25) x=24 x=-25 Benjamin Franklin has 24 suits and 25 wigs.
Long ago, there was a prince called Prince Eric. He owned x number of plots, each plot containing x number of castles. One day, he decided to conquer more plots to build castles and went riding to battle with his army. He then conquered 8 more plots with x number of castles in them. He then thought he was the strongest and attacked the strongest kingdom ever, King Mukund’s. But the king routed the prince’s army twice, each one for one plot. When added up the initial castles and the new additions and losses, the prince had seven left. How many did the castles prince start out with?
ReplyDeletePou had a certain amount of marshmallows. When Lou came over, he brought the same amount of snacks that Pou had. However, when the bully, Boo came over, he took 6 away from Pou and Lou. How many did Pou and Lou have?
ReplyDeletePou=x
Boo took=6
Lou=x
Boo took=6
(x-6)^2=(x-6)(x-6)
(x-6)(x-6)=0
x=6
This comment has been removed by the author.
ReplyDeleteRough draft
ReplyDeleteOne day, Emily asked Helena over to her house for some fruit pudding while her parents were away on a date. When Helena went to Emily’s house, she was surprised to see that there were more people invited to Emily’s house. Emily asked Helena to help her make the fruit puddings. The total weight of fruit pudding made was 95g. One bowl of fruit could be used to make the amount of pudding one person would eat, which consists of a certain number of strawberries and four slices of peaches. The number of people who wanted pudding, which was everyone in the house, was the same number as strawberries. If one strawberry weighed 3g, and one peach weighed 1g, how many strawberries were used in total, and how many people were invited to Emily’s house?
(solution)
x=number of strawberries, x-1=total number of people invited to Emily’s house
x(3x+4)=95
3x^2+4x-95=0
(3x+19)(x-5)=0
x=-19/3 or 5
-19/3 cannot be the answer because the number of people or strawberries cannot be a negative nor a fraction, and thus, x is 5.
(answer)
number of strawberries used in total=5 x 5 = 25(strawberries)
number of people invited to Emily’s house= 5 - 1 = 4(people)
WE CANT DELETE THE COMMENT
ReplyDeleteOn a random school night, Chloe got bored so she decided to throw a sleepover at her house. When all of Chloe’s friends arrived, they decided to eat some popcorn. There were a total of 44 pieces of popcorn in the bowl at the start of the movie, and none left when the movie finished. If each person ate one less than three times the amount of people there were in the sleepover, how many people were there at Chloe’s sleepover not including Chloe?
ReplyDeletex represents the amount of people there are at Chloe’s sleepover
44 represents the number of popcorn pieces eaten
x(3x-1)= 44
3x^2-x-44=0
(3x+11)(x-4)=0
x= -3/11 or 4
*Since the amount of people cannot be a negative nor fractional number, x has to equal 4.
1st draft
ReplyDeleteKevin had a certain number of cookies in his bag and he puts four more inside. After this Jinmo buys him the original amount of cookie Kevin had, before he put four more cookies inside. The total product of cookies was 21, how many cookies did Kevin have in the beginning.
( We will change it later)
1st draft
ReplyDeleteKevin had a certain number of cookies in his bag and he puts four more inside. After this Jinmo buys him the original amount of cookie Kevin had, before he put four more cookies inside. The total product of cookies was 21, how many cookies did Kevin have in the beginning.
x(x+4) =21
x^2 + 4x = 21
x^2 +4x -21 = 0
(x+7) (x-3) = 0
x= -7 or 3
The answer is 3
Kevin had 3 cookies at the beginning.
x(x+1)=90
ReplyDeletex²+x=90
x²+x-90=0
(x+10)(x-9)=0
{-10,9}
Selena got x number of cards for valentine’s day. Katelin got two more cards than Selena. Katelin was bored so she multiplied the number of cards she got with Selena’s cards. The product was 90. How many cards did each have?
Selena has 9 cards, and Katelin got 10.
x(x+1)=90
ReplyDeletex²+x=90
x²+x-90=0
(x+10)(x-9)=0
{-10,9}
Selena got x number of cards for valentine’s day. Katelin got one more card than Selena. Katelin was bored so she multiplied the number of cards she got with Selena’s cards. The product was 90. How many cards did each have?
Selena has 9 cards, and Katelin got 10.
Pou made an agreement with Lou. For the next certain amount of days, Lou will deliver a certain amount of sushi to Pou. The amount of days is same as the amount of sushi Lou delivers each day. Lou likes Pou, so Lou gave an extra sushi to Pou for each delivery.
ReplyDeletex(x+1)
Pou also likes Lou so he collects the sushi Lou delivers without eating any. (Gross!) The total amount that Pou had after the delivery season ended was 90.
x(x+1)=90
x2+x-90=0
(x-9)(x+10)=0
The amount of sushi delivered=9
The days the sushi was delivered=9
ReplyDeleteBenjamin Franklin had a certain amount of suits and a certain amount of wigs. The number of
wigs he had were 1 more than the number of suits he had. If the number of possible
combinations that Ben can wear is 600, how many suits and wigs does he have?
x(x+1)=600
x2+x=600
x2+x-600=0
(x-24) (x+25)
x=24 x=-25
Benjamin Franklin has 24 suits and 25 wigs.