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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

Question

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,andapretzelcosts2, and a pretzel costs 3.50. Hanson buys 16 items and spends 47inall.Thissystemofequationscanbeusedtorepresentthesituation:x+y=162x+3.5y=47Whichstatementiscorrect?Inthesystemofequations,xrepresentsthenumberofwaterbottlesHansonbuys,andyrepresentsthenumberofpretzelshebuys.Inthesystemofequations,xrepresentstheamountofmoneyHansonspendsonwaterbottles,andyrepresentstheamountofmoneyhespendsonpretzels.Inthesystemofequations,xrepresentstheamountofmoneyHansonspendsonpretzels,andyrepresentstheamountofmoneyhespendsonwaterbottles.Inthesystemofequations,xrepresentsthenumberofpretzelsHansonbuys,andyrepresentsthenumberofwaterbottleshebuys.HowmuchmoneydoesHansonspendonpretzels?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

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Solution

The correct statement is: In the system of equations, x represents the number of water bottles Hanson buys, and y represents the number of pretzels he buys.

To find out how much money Hanson spends on pretzels, we first need to solve the system of equations.

We can start by multiplying the first equation by 2 to make the x terms in both equations equal:

2x + 2y = 32 2x + 3.5y = 47

Then, we subtract the first equation from the second:

1.5y = 15

Divide both sides by 1.5 to solve for y:

y = 10

So, Hanson buys 10 pretzels.

To find out how much money he spends on pretzels, we multiply the number of pretzels by the cost of each pretzel:

10 pretzels * 3.50/pretzel=3.50/pretzel = 35

So, Hanson spends $35 on pretzels.

This problem has been solved

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