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John bought 6 burgers meals and 2 desserts for a total of $70 and Sandy bought 9 of the same burger meals and 8 of the same desserts for a total of $130. What is the cost of the burger meals and desserts?

User Cassian
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2 Answers

2 votes

Answer:$10 and desserts are $5

Explanation:

User Oliver Watkins
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5 votes

Answer:

$10 and the cost of a dessert is $5.

Explanation:

Let’s solve this problem using a system of linear equations. Let’s say the cost of a burger meal is x and the cost of a dessert is y. From the information given, we can write two equations:

John: 6x + 2y = 70 Sandy: 9x + 8y = 130

Multiplying the first equation by 4, we get:

24x + 8y = 280

Subtracting the second equation from this, we get:

24x + 8y - (9x + 8y) = 280 - 130 15x = 150 x = 10

Substituting this value of x in the first equation, we get:

6 * 10 + 2y = 70 60 + 2y = 70 2y = 10 y = 5

So the cost of a burger meal is $10 and the cost of a dessert is $5.

User Laurance Nguyen
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7.4k points