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

Question

Mathematics

Piper Valenzuela

28 January, 05:27

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

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Answers (1)

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Miriam Cuevas · 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