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nekit [7.7K]
2 years ago
12

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

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
6 0

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

<h3>Further explanation </h3>

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}

<h3>Learn more  </h3>

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Keywords: fraction, money, comic books

svlad2 [7]2 years ago
4 0
Check on this website
file:///C:/Users/nadim/Downloads/Lesson%207%20Problem%20Set.pdf
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