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Treyvon has $15 to spend at Wegmans and he wants to load up on beverages. If a Gatorade costs $2 each and a water costs $1.50, write an equation to represent his situation.

a) 2x + 1.5y = 15
b) 2x + 1.5 = 15
c) 2x + 1.5y = 30
d) 2x - 1.5y = 15

2 Answers

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Let x represent the number of Gatorades Treyvon buys and y represent the number of waters he buys. The cost of the Gatorade is $2 each, so the total cost of Gatorades is 2x. Similarly, the cost of water is $1.50 each, so the total cost of waters is 1.5y.

The total amount Treyvon spends is $15, so the equation representing his situation is:

2x + 1.5y = 15

Therefore, the correct option is:

a) 2x + 1.5y = 15

Hope this helps :)

User Marijn Stevering
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Final answer:

The equation that represents Treyvon's situation is 2x + 1.5y = 15. In this equation, x represents the number of Gatorades Treyvon wants to buy, and y represents the number of waters. The equation states that the total cost of 2x Gatorades and 1.5y waters should be equal to $15, which is Treyvon's budget.

Step-by-step explanation:

The equation that represents Treyvon's situation is a) 2x + 1.5y = 15.

In this equation, x represents the number of Gatorades Treyvon wants to buy, and y represents the number of waters. The coefficients 2 and 1.5 represent the prices of Gatorade and water, respectively. The equation states that the total cost of 2x Gatorades and 1.5y waters should be equal to $15, which is Treyvon's budget.

For example, if Treyvon wants to buy 5 Gatorades (x = 5), the equation becomes 2(5) + 1.5y = 15, which simplifies to 10 + 1.5y = 15. By solving for y, we can determine the number of waters Treyvon can buy within his budget.

User Jason Slocomb
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