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](https://tex.z-dn.net/?f=2x%2B3y)
The total amount spent is given to be $156. Thus,
156 = ![2x+3y](https://tex.z-dn.net/?f=2x%2B3y)
It is also given that, the shop sold 8 more sundaes than banana splits. In equation form,
![x = y+8](https://tex.z-dn.net/?f=x%20%3D%20y%2B8)
,
Inserting this value of y in above equation, we get,
156 =
=
![180 = 5x](https://tex.z-dn.net/?f=180%20%3D%205x)
Thus, x = 36 = number of sundae sold.