The total number of Dimes that Sally had is: 55.56 dimes.
Algebraic word problems?
Sally has 2 dimes for each quarter, so the coins are grouped in $0.45 groups.
However, $12.50 is not divisible by 45 cents, so you will wind up with a fraction of a coin.
Q=quarters; D=dimes=2Q
$0.10D + $0.25Q = $12.50
Substitute for D.
$0.10(2Q) + $0.25Q = $12.50
$0.20Q + $0.25Q = $12.50
$0.45Q = $12.50
Divide each side by $0.45
Q=27.78...
She had 27.78 quarters.
D=2Q=55.56
She had 55.56 dimes.
Complete question is:
Sally has coins in her piggy bank. She has twice as many dimes as quarters. The total value is $12.50. How many dimes does she have?