Answer:
[tex]s = 8+b\\2s+3b=156[/tex]
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 [tex]s[/tex] = number of sundaes sold.
Let [tex]b[/tex] = number of banana splits sold.
Given information:
Sundae: [tex]\$2[/tex]
Banana Splits: [tex]\$3[/tex]
8 more sundaes sold than banana splits. This can be expressed by [tex]s=8+b[/tex].
Total sold was [tex]\$156[/tex]. This can be expressed as [tex]2s+3b=156[/tex].
∴ The systems of equation that expresses this situation are [tex]s=8+b[/tex] and [tex]2s+3b=156[/tex].
Hope this helps :)
