Question

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answer 1

Answer:

$s = 8+b\\2s+3b=156$

Step-by-step explanation:

To find which systems of equation represents the situation, we can break down the key information and create two variables:

Variables:

Let $s$ = number of sundaes sold.

Let $b$ = number of banana splits sold.

Given information:

Sundae: $\ 2$

Banana Splits: $\ 3$

8 more sundaes sold than banana splits. This can be expressed by $s=8+b$.

Total sold was $\ 156$. This can be expressed as $2s+3b=156$.

∴ The systems of equation that expresses this situation are $s=8+b$ and $2s+3b=156$.

Hope this helps :)