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) (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:
Equation 2:
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Solution:
Since equation one is solved for B, Plug (3A + 11) into equation 2 for B.
Equation 2:
Multiply the 0.10 trhough.
Combine like terms.
Subtract 1.1 from both sides.
Divide both sides by 0.55
Now plug 7 into equation 1 for A.
Equation 1:
Annie has 32 dimes.
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