Jamal bought snacks for his team's practice. He bought a bag of apples for $2.87 and a 8-pack of juice bottles. The total cost before tax was $13.35. Which equation or tape diagram could be used to represent the context if xx represents each bottle of juice costs?A2.872.872.87...x12.042.87xBxxx...2.8712.048xC13, point, 3, 5, minus, 2, point, 8, 7, equals, 8, x13.35−2.87=8xD13, point, 3, 5, equals, 8, left bracket, x, plus, 2, point, 8, 7, right bracket13.35=8(x+2.87)
Question
Jamal bought snacks for his team's practice. He bought a bag of apples for 13.35. Which equation or tape diagram could be used to represent the context if xx represents each bottle of juice costs?A2.872.872.87...x12.042.87xBxxx...2.8712.048xC13, point, 3, 5, minus, 2, point, 8, 7, equals, 8, x13.35−2.87=8xD13, point, 3, 5, equals, 8, left bracket, x, plus, 2, point, 8, 7, right bracket13.35=8(x+2.87)
Solution
The correct equation to represent the context is 13.35 = 8(x + 2.87).
Here's why:
-
Jamal bought a bag of apples for $2.87. This is a fixed cost and doesn't change.
-
He also bought an 8-pack of juice bottles. We don't know the cost of each bottle, so we represent it as 'x'.
-
The total cost before tax was $13.35. This includes the cost of the apples and the 8 bottles of juice.
So, we can set up the equation as follows:
The cost of the apples + the cost of the 8 bottles of juice = total cost 2.87 + 8x = 13.35
To make it easier to solve for 'x', we can rearrange the equation to group the 'x' terms on one side. This gives us:
13.35 = 8x + 2.87
This equation tells us that the total cost (2.87). We can solve this equation to find the cost of each bottle of juice.
Similar Questions
Stella needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $59 for parts. The total was $359. Which tape diagram could be used to represent the context if xx represents the cost of labor per hour?
Members of a lacrosse team raised $2370.50 to go to a tournament. They rented a bus for $780.50 and budgeted $66.25 per player for meals. Which equation or tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?A66, point, 2, 5, x, equals, 780, point, 5, minus, 2370, point, 566.25x=780.5−2370.5B780.5780.5780.5...66.252370.5780.5xC2370, point, 5, equals, 66, point, 2, 5, left bracket, x, plus, 780, point, 5, right bracket2370.5=66.25(x+780.5)D
Members of a soccer team raised $1210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. Which equation or tape diagram could be used to represent the context if pp represents the number of players the team can bring to the tournament?
Christian went into a movie theater and bought 8 drinks and 10 candies, costing a total of $94. Dianelys went into the same movie theater and bought 9 drinks and 6 candies, costing a total of $79.50. Write a system of equations that could be used to determine the price of each drink and the price of each candy. Define the variables that you use to write the system.
Hanson is at a ball game with his family. He goes to the concession stand to buy soft pretzels and water bottles for everyone. A water bottle costs $2, and a pretzel costs $3.50. Hanson buys 16 items and spends $47 in all.This system of equations can be used to represent the situation:x+y=162x+3.5y=47Which statement is correct?In the system of equations, x represents the number of water bottles Hanson buys, and y represents the number of pretzels he buys.In the system of equations, x represents the amount of money Hanson spends on water bottles, and y represents the amount of money he spends on pretzels.In the system of equations, x represents the amount of money Hanson spends on pretzels, and y represents the amount of money he spends on water bottles.In the system of equations, x represents the number of pretzels Hanson buys, and y represents the number of water bottles he buys.How much money does Hanson spend on pretzels?$Submit
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.