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
