Question

Leonard spent 1/4 of his money on a sandwich. He spent 2times as much on a gift for his brother as on some comic books. He had 3/8 of his money left. What fraction of his money did he spend on the comic books

Answer 1

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file:///C:/Users/nadim/Downloads/Lesson%207%20Problem%20Set.pdf

Answer 2

Leonard spend $\displaystyle \frac{1}{8}$of his money on the comic books

Further explanation

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

$\large{\boxed{\bold{\frac{a}{b}} }$

a = numerator

b = denominator

Mixed fractions consist of whole number and ordinary fractions

Let M = All Leonard money

• Leonard spent 1/4 of his money on a sandwich.

we translate this sentence into equation

$\displaystyle S=\frac{1}{4} M$

• He spent 2 times as much on a gift for his brother as on some comic books.

a gift = 2 x comic books

let x = comic books

so a gift = 2x

we translate this sentence into equation

$\displaystyle G=2\:CB$

• $\displaystyle \frac{3}{8}$ of his money left

So the total money:

= sandwich money + gift + comic books + the rest of money

= $\frac{1}{4}+2x+x+\frac{3}{8}=\frac{8}{8}$

=$\displaystyle \frac{1}{4}+\frac{3}{8}+3x=\frac{8}{8}$

=$\displaystyle \frac{2}{8}+\frac{3}{8}+3x=\frac{8}{8}$

=$\displaystyle \frac{5}{8}+3x=\frac{8}{8}$

=$\displaystyle 3x=\frac{8}{8}-\frac{5}{8}$

=$\displaystyle 3x=\frac{3}{8}$

=$\displaystyle x=\frac{3}{24}=\frac{1}{8}$

so x = money for comic books = $\displaystyle \frac{1}{8}$

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Keywords: fraction, money, comic books