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

Solution:

Given:

$\begin{gathered} \text{Matthew spent the following from his birthday money;} \\ \text{Books}=\frac{2}{3} \\ \text{Snacks}=\frac{1}{4} \end{gathered}$

Total spent so far from his birthday money is;

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

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

Therefore, he has spent;

$\frac{11}{12}\text{ of his birthday money}$