Question

A store sells bags of gold fish for $3.00, bags of animal crackers for $3.50, and bags of gummies for $4.00. One day, 15 bags of snacks were sold at $53 was earned for the sales. Two more bags of animal crackers were sold than goldfish. How many bags of each type of snack were sold?

Answer 1

Kindly check explanation

Explanation:

Given the following :

Selling price of bags of gold fish(f) = $3

Selling price of bags of animal crackers (a) = $3.50

Selling price of bags of gummies(g) = $4

Sales on a particular day:

Total snack sold = 15

Total price of sales = $53

Two more bags of 'a' were sold than 'f' ; hence 'a' = 2 + f

f + a + g = 15 ;

f + 2 + f + g = 15 ; 2f + g = 15 - 2 ;

2f +g = 13 - - (1)

3f + 3.5a + 4g = 53

3f + 3.5(2 + f) + 4g = 53

3f + 7 + 3.5f + 4g = 53

6.5f + 4g = 46 - - - (2)

From (1)

g = 13 - 2f

6.5f + 4(13 - 2f) = 46

6.5f + 52 - 8f = 46

-1.5f = - 6

f = 4

g = 13 - 2(4)

g = 13 - 8

g = 5

a = 2 + f

a = 2 + 4

a = 6