Question 23913
<pre>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?
<b><font size = 4>
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</pre>