SOLUTION: Tina's change of $1.35 consisted of quarters and dimes only and she received twice as many dimes as quarters. How many quarters were there?

Question 23913: Tina's change of $1.35 consisted of quarters and dimes only and she received twice as many dimes as quarters. How many quarters were there?
Answer by AnlytcPhil(1810) (Show Source): You can put this solution on YOUR website!

Tina's change of $1.35 consisted of quarters and dimes only and
she received twice as many dimes as quarters. How many quarters were there?

Let x = the number of quarters

>>...she received twice as many dimes as quarters...<<

That tells us that the number of dimes is twice the number or
quarters, or 2x.

since each quarter is worth 25 cents,

x quarter are worth 25x cents

Since each dime is worth 10 cents,

2x dimes are worth 10 times 2x cents or 20x cents.

>>...Tina's change of $1.35...<<

This says 

the worth of the quarter + the worth of the dimes = 
$1.35 = 135 cents.

                             25x + 20x = 135

Can you solve that for x?

Answer:  x=3, so there are 3 quarters.

Check: There are 3 quarters and twice as many or 6 dimes.  The 
3 quarters are worth 75 cents and the 6 dimes are worth 60 cents, 
and the total is worth $1.35. 

Edwin
AnlytcPhil@aol.com

RELATED QUESTIONS
Andria has $16 worth of quarters and dimes. If Andria has 2 1/2 times as many dimes as... (answered by Shin123,MathTherapy)
Rachel has $10.80 in dimes and quarters. She has twice as many quarters as dimes. How... (answered by Alan3354)
Mary has $5.00 in nickels, dimes, and quarters. If she has twice as many dimes as... (answered by ankor@dixie-net.com)
Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels (answered by stanbon,killahzsmilez)
Addie has $2.15 in her change purse, consisting of nickels, dimes, and quarters. If she... (answered by ankor@dixie-net.com)
A woman has 10.50 in change consisting of twice as many half dollars as quarters and five (answered by checkley77,kammy13)
this is the question: “How can I have $23.50 in change consisting of dimes, quarters,... (answered by josgarithmetic,greenestamps)
Ginger has five more quarters than dimes. She has $5.10 in change. If she has only... (answered by Alan3354)
1. Mary has $2.25 in coins. She has the same number of quarters as dimes. She has half as (answered by ankor@dixie-net.com)