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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
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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?
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Mathematics
7 months
2021-07-20T12:21:38+00:00
2021-07-20T12:21:38+00:00 1 Answers
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Answer:
Kindly check explanation
Step-by-step 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