Question

Violet has $4.25 worth of dimes and quarters. She has 3 times as many quarters as dimes. Determine the number of dimes and the number of quarters that Violet has

Answer 1

Answer: Violet has 5 dimes and 15 quarters.

Step-by-step explanation:

let x denotes the number of dimes and y denotes the number of quarters.

Given : Violet has $4.25 worth of dimes and quarters .

Also, 1 dime = $0.1

1 quarter = $0.25

i.e. $0.1x+0.25y=4.25$           (1)

She has 3 times as many quarters as dimes.

i.e $y=3x$                               (2)

Substitute the value of y in equation (1) , we get

$0.1x+0.25(3x)=4.25$      

$\Rightarrow\ 0.1x+0.75x=4.25$      

$\Rightarrow\ 0.85x=4.25$  

 

Divide both sides by 0.85 , we get

$x=5$

Substitute the value of x in (2) , we get

$y=3(5)=15$

Hence, Violet has 5 dimes and 15 quarters.