Ava is raising money for a school trip by selling bags of chips and candy bars. The price of each bag of chips is $1.75 and the price of each candy bar is $1. Yesterday Ava made $26 from selling a total of 17 bags of chips and candy bars. Determine the number of bags of chips sold and the number of candy bars sold.

We will first make two different equation. The first one for the money made, and the second one for the amount sold. X will refer to the chips and Y will refer the candy bars.

[tex]1.75x+y=26\\x+y=17[/tex]

Now I will multiply the second equation by -1 so that I can cancel out.

[tex]1.75x+y=26\\-x-y=-17\\\\0.75x=9[/tex]

Solve for x

[tex]x=12[/tex]

This is how many chips she sold.

Now plug this number into one of the first two equations.

[tex]x+y=17\\12+y=17\\y=5[/tex]

This is how many candy bars she sold.

Hope this helps! <3

adioabiola adioabiola · Answer 2 · 2021-12-10T10:24:40+01:00

The number of bags of chips sold and the number of candy bars sold is 12 bags and 5 bars respectively.

Given:

Cost of each bag of chips = $1.75

Cost of each candy bar = $1

Total = $26

Total bags = 17

let

x = number of bags of chips

y = number of candy bars

x + y = 17 (1)

x + y = 17 (1)1.75x + y = 26 (2)

subtract (1) from (2)

1.75x - x = 26 - 17

0.75x = 9

x = 9 / 0.75

x = 12

substitute x = 12 into (1)

x + y = 17

12 + y = 17

y = 17 - 12

y = 5

Therefore, number of bags of chips sold and the number of candy bars sold is 12 bags and 5 bars respectively.

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