Question

Matthew spent 2/3 of his birthday money on books and 1/4 of his birthday money on snacks. He says he has spent 3/7 of his birthday money. Which statement is most accurate?

Answer 1

Given:

`\begin{gathered} \text{Matthew spent the following from his birthday money;} \\ \text{Books}=(2)/(3) \\ \text{Snacks}=(1)/(4) \end{gathered}`

Total spent so far from his birthday money is;

`\begin{gathered} (2)/(3)+(1)/(4) \\ \text{Taking the lowest common denominator,} \\ (8+3)/(12) \\ =(11)/(12) \\ \\ \text{Hence, he has spent }(11)/(12)\text{ of his birthday money.} \end{gathered}`

He was wrong to have said he has spent 3/7 of his birthday money.

Therefore, he has spent;

`(11)/(12)\text{ of his birthday money}`