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

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

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 :)