Question

5. ** A group of adults and kids went to see a movie. Tickets cost $6.00 each for adults and $2.50 each for kids. The group paid $39.00 in total. There were 2 fewer adults than kids in the group. Find the number of adults and kids in the group.

Answer 1

Given

$6.00 adults

$2.50 Kids

Total $39.00

2 fewer adults than kids

Procedure

a = adults

k = kids

`\begin{gathered} 6a+2.5k=39 \\ a=k-2 \end{gathered}`

solving

`\begin{gathered} 6(k-2)+2.5k=39 \\ 6k-12+2.5k=39 \\ 8.5k=39+12 \\ k=(51)/(8.5) \\ k=6.0 \end{gathered}`

Now for adults

`\begin{gathered} a=k-2 \\ a=6-2 \\ a=4 \end{gathered}`

Answer=

6 kids

4 adults