Question

17. Felicia bought 5 pieces of candy for 75 cents. Write a proportion youcould solve to find out how much would 8 pieces cost? *

Answer 1

Given the information on the problem, we can write the 5 pieces of candy for 75 cents like this:

`\frac{75\text{ cents}}{5\text{ pieces}}`

then, for 8 pieces, we would have the following proportion:

`\frac{x\text{ cents}}{8\text{ pieces}}`

then, we can equate both proportions to get the following:

`\begin{gathered} \frac{75\text{ cents}}{5\text{ pieces}}=\frac{x\text{ cents}}{8\text{ pieces}} \\ or \\ (75)/(5)=(x)/(8) \end{gathered}`

thus, solving for x, we get:

`\begin{gathered} (x)/(8)=(75)/(5) \\ \Rightarrow x=(75)/(5)\cdot8=120 \\ x=120\text{cents} \end{gathered}`

therefore, 8 pieces cost $1.20