Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have?

Question

anonymous · Answer

16 quarters and 30 dimes.

callisto · Answer

dimes = $0.01?
quarter = $0.25?

anonymous · Answer

what is the work on how to do it

callisto · Answer

no i'm asking what is dime and what is quarter..
we don't have such currency here :(

anonymous · Answer

oh quarter is 25cents and a dime is 10

callisto · Answer

anyway, let x be the no of dimes and y be the no of quarters
x+y =46              => x = 46-y -(1)
0.1x+0.25y = 7  -(2)
put (1) into (2)
0.1( 46-y)+0.25y = 7 
4.6 -0.1y +0.25 = 7
0.15y = 2.4
y=16
therefore x=46-16 =30
therefore there are 30 dimes and 16 quarters

anonymous · Answer

Thank you so much.. yeah i thought it was 30 dimes but wasn't 100%  sure

callisto · Answer

welcome :)