SOLUTION: Annie has quarters and dimes in her bank. There are eleven more than three times as many dimes as quarters. There is $4.95 in her bank. How many dimes are in her bank?

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Question 798932: Annie has quarters and dimes in her bank. There are eleven more than three times as many dimes as quarters. There is $4.95 in her bank. How many dimes are in her bank?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
1 quarter = $0.25
1 dime = $0.10
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Set up:
Let A = number of quarters
Let B = number of dimes
Equation 1: B+=+3A+%2B+11
Equation 2: 0.25%2AA+%2B+0.10%2AB+=+4.95
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Solution:
Since equation one is solved for B, Plug (3A + 11) into equation 2 for B.
Equation 2: 0.25%2AA+%2B+0.10%2AB+=+4.95
0.25%2AA+%2B+0.10%2A%283A+%2B+11%29+=+4.95
Multiply the 0.10 trhough.
0.25A+%2B+0.3A+%2B+1.1+=+4.95
Combine like terms.
0.55A+%2B+1.1+=+4.95
Subtract 1.1 from both sides.
0.55A+=+3.85
Divide both sides by 0.55
highlight%28A+=+7%29
Now plug 7 into equation 1 for A.
Equation 1: B+=+3A+%2B+11
B+=+3%2A%287%29+%2B+11
B+=+21+%2B+11
highlight_green%28B+=+32%29
Annie has 32 dimes.