SOLUTION: samantha has 30 coins, quarters and dimes, which total $5.70. How many of each does she have?

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Question 119684: samantha has 30 coins, quarters and dimes, which total $5.70. How many of each does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
q = number of quarters
d = number of dimes
25q+%2B+10d+=+570
q+%2B+d+=+30
d+=+30+-+q
25q+%2B+10%2830+-+q%29+=+570
25q+%2B+300+-+10q+=+570
15q+=+270
q+=+18
d+=+30+-+q
d+=+30+-+18
d+=+12
She has 18 quarters and 12 dimes
check:
25q+%2B+10d+=+570
25%2A18+%2B+10%2A12+=+570
450+%2B+120+=+570
570+=+570
OK