Question

Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold

Answer 1

Answer:

The number of bags of chips sold was 20 and the number of fruit snacks sold was 5

Step-by-step explanation:

Let

x ---> the number of bags of chips sold

y ---> the number of fruit snacks sold

we know that

Penelope made $42.50

so

$1.75x+1.50y=42.50$ ----> equation A

Penelope sold 15 more bags of chips than fruit snacks.

$x=y+15$ ----> equation B

substitute equation B in equation A

$1.75(y+15)+1.50y=42.50$

solve for y

$1.75y+26.25+1.50y=42.50\\3.25y=16.25\\y=5$

Find the value of x

$x=5+15=20$

therefore

The number of bags of chips sold was 20 and the number of fruit snacks sold was 5