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

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}=(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} (x)/(1)=(6)/((1)/(2)) \\ (x)/(1)=6*(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}=(1)/(5)pounds`

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

`\begin{gathered} (1)/((5)/(5))=(1)/(5)\text{divided by 5 friends} \\ We\text{ have:} \\ (1)/(5)*(1)/(5)=(1)/(25) \end{gathered}`

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