VoloDavid6411 VoloDavid6411
  • 07-03-2019
  • Mathematics
contestada

A boy painted 3/4 of a wallusing 1/7 of a can of paint. How many walls can he paint using 1 can of paint?

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jdoe0001 jdoe0001
  • 07-03-2019

[tex]\bf \begin{array}{ccll} wall&paint\\ \cline{1-2}\\ \frac{3}{4}&\frac{1}{7}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~\frac{1}{7}~~}{1}\implies \cfrac{~~\frac{3}{4}~~}{\frac{x}{1}}=\cfrac{1}{7}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{1}{7} \\\\\\ \cfrac{3}{4x}=\cfrac{1}{7}\implies 21=4x\implies \cfrac{21}{4}=x\implies 5\frac{1}{4}=x[/tex]

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