egt1gi

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

Beginner2023-03-09Added 2 answers

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:

$0.10x+0.25(x+3)=1.80\phantom{\rule{0ex}{0ex}}0.10x+0.25x+0.75=1.80\phantom{\rule{0ex}{0ex}}0.35x+0.75=1.80$

Hence, $0.35x+0.75=1.80$ is the required equation to represent the number of dimes, x in his pocket.

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:

$0.10x+0.25(x+3)=1.80\phantom{\rule{0ex}{0ex}}0.10x+0.25x+0.75=1.80\phantom{\rule{0ex}{0ex}}0.35x+0.75=1.80$

Hence, $0.35x+0.75=1.80$ is the required equation to represent the number of dimes, x in his pocket.