Let x = number of quarters
since she has twice as many dimes as quarters,
Let 2x = number of dimes
The total value in $ is
0.25x + (0.10)(2x)
And it was said that when the numbers of quarters and dimes are interchanged, she would have $1.20 more than the original. So,
(New Value) = (Original Value) + $1.20
0.25(2x) + 0.10x = 0.25x + (0.10)(2x) + 1.20
Solving for x,
0.5x + 0.1x = 0.25x + 0.2x + 1.20
0.6x = 0.45x + 1.20
0.6x - 0.45x = 1.20
0.15x = 1.20
x = 1.20/0.15
x = 8 quarters
2x = 16 dimes
This is the first time I've learned of the value/amount of a "dime". I had to search for it first in google lol. Because we don't use this currency. :D
Hope this helps~ `u`
A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have $1.20 more than she now has. How many of each does she have?
17 answers
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2 answers