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Shtirlitz [24]
4 years ago
7

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than

banana splits and made $156. Use system of equations to find the number of sundaes that the shop sold that day?
Mathematics
1 answer:
sineoko [7]4 years ago
8 0

Answer:

The number of sundaes sold are 36.

Step-by-step explanation:

<em>The cost of each sundae is $2 and the cost of each banana splits is $3.</em>

<em>The number of sundae sold be "x" and banana split be "y".</em>

Thus, the total amount spent is,

= 2x+3y

The total amount spent is given to be $156. Thus,

156 = 2x+3y

It is also given that, the shop sold 8 more sundaes than banana splits. In equation form,

x = y+8

y = x-8,

Inserting this value of y in above equation, we get,

156 = 2x+3(x-8) =  5x-24

180 = 5x

Thus, x = 36 = number of sundae sold.

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