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Noah went into a movie theater and bought 9 drinks and 4 candies, costing a total of $60. Nachelle went into the same movie theater and bought 10 drinks and 2 candies, costing a total of $57.50. Determine the price of each drink and the price of each candy.
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Answer :

ujalakhan18

Answer:

See below.

Step-by-step explanation:

Let the price of drinks be x and the price of candies be y.

Condition # 1:

9x + 4y = 60 --------------------(1)

Condition # 2:

10x + 2y = 57.50 --------------(2)

Multiply Eq. (2) by 2

2(10x + 2y) = 57.50*2

20x + 4y = 114.8 --------------(3)

Subtract Eq. (3) from (1)

9x + 4y - 20x - 4y = 60 - 114.8

9x - 20x = -54.8

-11x = -54.8

11x = 54.8

Divide 11 to both sides

x = 54.8/11

x = $4.98

Put x = 4.98 in Eq. (1)

9(4.98) + 4y = 60

44.8 + 4y = 60

Subtract 44.8 to both sides

4y = 60 - 44.8

4y = 15.2

Divide 4 to both sides

y = $3.8

So, the cost of one drink is $4.98 and the cost of one candy is $3.8.

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