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2023-03-08

Louis has three more quarters than dimes in his pocket, for a total of \$1.80. Write an equation to represent the number of dimes , x in his pocket.

Kelvin Crosby

Write an equation to represent the number of dimes:
Let number of dimes be x and quarter be q.
Given that the value of quarters and dimes is \$1.80
Given that Louis has three more quarters than dimes.
Thus, $q=x+3$.
$1$dime $=0.10$ and $1$ quarter $=0.25$.
$0.10x+0.25q=1.80$.
Substitute the value of q in above equation:
$0.10x+0.25\left(x+3\right)=1.80\phantom{\rule{0ex}{0ex}}0.10x+0.25x+0.75=1.80\phantom{\rule{0ex}{0ex}}0.35x+0.75=1.80$
Hence, $0.35x+0.75=1.80$ is the required equation to represent the number of dimes, x in his pocket.

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