SOLUTION: Martha has a total of 11 dimes and quarters. If the total value of the coins is $1.55, how many quarters does she have?
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Question 539527: Martha has a total of 11 dimes and quarters. If the total value of the coins is $1.55, how many quarters does she have?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
d = dimes
10d = value of the dimes in cents
q = quarters
25q = value of quarters in cents
.
d + q = 11
so
d = 11-q
,
10d + 25q = 155 cents
.
substitute d = 11-q
.
10(11-q) + 25q = 155
110 - 10q + 25q = 155
15q = 45
q = 3
.
d = 11-3 = 8
.
Check the value.
25*3 + 10*8 = 75 + 80 = 155 cents
Correct.
.
Answer: Martha has 3 quarters and 8 dimes.
.
Done.
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