Question

Matthew spent2/3 of his birthday money on books1/4 of his money on snacks. He spent3/7 of his birthday money which statement is most accurate?

Answer 1

Given:

Matthew spent 2/3 of his birthday money on books

1/4 of his money on snacks.

He spent 3/7 of his birthday money

Let x represent the amount of money Matthew has for his birthday

The amount of money Musa spent on books is:

`\begin{gathered} =\text{ }(2)/(3)*\text{ x} \\ =\text{ }(2)/(3)x \end{gathered}`

The amount of money he spent on snacks:

`\begin{gathered} =\text{ }(1)/(4)*\text{ x} \\ =\text{ }(1)/(4)x \end{gathered}`

The total amount of money he spent is the sum of money he spent on books and snacks:

`\begin{gathered} =\text{ }(2)/(3)x\text{ + }(1)/(4)x \\ =\text{ }\frac{8x\text{ + 3x}}{12} \\ =\text{ }(11)/(12)x \end{gathered}`

Hence, the amount of money Matthew spent is 11/12. The most accurate statement would be that 3/7 is not a reasonable answer for the fraction of his birthday money Matthew has spent. The fraction should be closer to one.

Answer: Option C