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.

egt1gi

egt1gi

Answered question

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.

Answer & Explanation

Kelvin Crosby

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.
1dime =$0.10 and 1 quarter =$0.25.
0.10x+0.25q=1.80.
Substitute the value of q in above equation:
0.10 x + 0.25 ( x + 3 ) = 1.80 0.10 x + 0.25 x + 0.75 = 1.80 0.35 x + 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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