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?

The number of sundaes sold are 36.

Step-by-step explanation:

The cost of each sundae is $2 and the cost of each banana splits is $3.

The number of sundae sold be "x" and banana split be "y".

Thus, the total amount spent is,

=

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

156 =

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

,

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

156 = =  

Thus, x = 36 = number of sundae sold.

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