Question

A vending machine sells chips at $0.55 and candy at $0.75. Last month the vending machine yielded $170.00 with the sale of 260 items

Let x be the number of chips sold and y the number of candies. How many packages of chips were purchased last month

Answer 1

125 packages of chips.

Explanation:

A vending machine sells chips at $0.55

And candy at $0.75

Last month, the vending machine yielded $170.00 with the sale of 260 items.

Let x be the number of chips sold and y be the number of candies sold.

$0.55x + $0.75y = $170.00

x + y = 260

Solving the above simultaneous equations by substitution;

x = 260 - y

Then,

0.55(260 - y) + 0.75y = 170

143 - 0.55y + 0.75y = 170

0.2y = 170 - 143 = 27

y =
`(27)/(0.2)` = 135

x = 260 - 135 = 125

So there were 125 packages of chips sold.