Asked by Pinkie

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?
Answered by Jai
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`
Answered by dora the explorer likes to explorer ur mom
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Answered by Anonymous
I am smarter than you because I am in middle school and I am getting these problems
Answered by cherrypie
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Answered by DIBS
Bro this actually helps
Answered by MarvelLover
Nice job! It is correct. Thank you!
Answered by Iamnotu
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Answered by Thatone_nerd
nice job, its correct
Answered by hi
this helped me with my middle school math! Thanks so much!
Answered by Sheri Nicole
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Answered by heyy
thanks so much! it's correct
Answered by heyy
Lol all of these comments are since corona started
Answered by yay
omg... this is rsm question for me, thx sooo much
Answered by The legend Boi
Thx
Answered by Shut yo pie hole
Thanks
Answered by Memmy
lol i am in 6th grade
Answered by D
THANKSSS THIS WAS AN RSM QUESTION FOR ME. U HAVE NO IDEA HOW MUCH THAT HELPED ME.
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