Question

George is starting his own business selling frogs and rainbow popsicles. At the end of his first day of business he checked his inventory and found he had sold a total of 36 items and made a total of $94.50. If each frog costs $6 and a popsicle costs $1.50, how many of each did he sell

Answer 1

f is number of frogs sold
p is number of Popsicles sold

6f+1.5p=94.50
f+p=36

Rearrange
p=36-f

Substitute
6f+1.5(36-f)=94.5

Reduce
6f+54-1.5f=94.5
4.5f=40.5
F=9

Substitute

9+p=36
P=27

George sold 27 Popsicles and 9 Frogs