Question

A. A small book took 1/2 of a ream of paper to make. How many books could be made with 6 whole reams of paper?B. A group of 5 friends bought 1/5 of a pound of bubblegum. If they split it equally, How much would each friend get?

Answer 1

SOLUTION

Given the question in the question tab, the following are the solution steps to solve the problem

Question A: How many books could be made with 6 whole reams of paper?

$\begin{gathered} 1\text{book}=\frac{1}{2}\text{ream}----(1) \\ x\text{ books=6 reams}---(2) \end{gathered}$

If half of a ream produces 1 book, to get the number of books produced from 6 reams, we find a certain number such that when we multiply to both sides of the equation 1, we get equation 2

$\begin{gathered} \frac{x}{1}=\frac{6}{\frac{1}{2}} \\ \frac{x}{1}=6\times\frac{2}{1} \\ x=12 \end{gathered}$

Hence, 12 books would be made with 6 whole reams of paper

Question B: How much would each friend get?

By representation, we have:

$5\text{ friends}=\frac{1}{5}pounds$

If 4 friends share 1/5 of a pound of bubblegum, then each of them will have:

$\begin{gathered} \frac{1}{\frac{5}{5}}=\frac{1}{5}\text{divided by 5 friends} \\ We\text{ have:} \\ \frac{1}{5}\times\frac{1}{5}=\frac{1}{25} \end{gathered}$

Hence, each friend would get 1/25 of a pound of bubblegum