Lati needs to purchase drinks and snacks for a party. Each drink costs $0.75. Each snack costs $3.28. There is a 7% sales tax on her total purchase. She purchases an equal number of snacks and drinks. How many of each item can Lati purchase if she has $64 dollars to spend?

Question

Mathematics

Leah Cannon

10 December, 18:32

Lati needs to purchase drinks and snacks for a party. Each drink costs $0.75. Each snack costs $3.28. There is a 7% sales tax on her total purchase. She purchases an equal number of snacks and drinks. How many of each item can Lati purchase if she has $64 dollars to spend?

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Derrick Small · Answer 1

Let's say the number of drinks Lati buys is x and the number of snacks she buys is y:

(1) x = y

(2) 1.07 (0.75x + 3.28y) = 64

(The 1.07 is equivalent to 107%, since she is charged an extra 7% of the total price)

Now substituting (1) into (2) we get:

1.07 (0.75x + 3.28x) = 64

1.07*4.03x = 64

4.3121x = 64

x = 64/4.3121 = 14 (rounded down, since she cannot spent more than $64)

Thus she can purchase 14 snacks and 14 drinks