SOLUTION: sue has a collection of quarters and nickels. she has 17 coins whose total value is $1.85. How many of each type of coin does she have

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Question 1091830: sue has a collection of quarters and nickels. she has 17 coins whose total value is $1.85. How many of each type of coin does she have
Found 3 solutions by josgarithmetic, josmiceli, Alan3354:
Answer by josgarithmetic(39625) About Me  (Show Source):
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system%28q%2Bn=17%2C5q%2Bn=37%29

5q%2B17-q=37-17
4q=20
q=5
-
n=12

12 nickels and 5 quarters





-
0.6+1.25=1.85

Answer by josmiceli(19441) About Me  (Show Source):
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Let +q+ = number of quarters
Let +n+ = number of nickels
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(1) +n+%2B+q+=+17+
(2) +5n+%2B+25q+=+185+ ( in cents )
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Multiply both sides of (1) by 5 and
subtract (1) fom (2)
(2) +5n+%2B+25q+=+185+
(1) +-5n+-+5q+=+-85+
-----------------------
+20q+=+100+
+q+=+5+
and
(1) +n+%2B+q+=+17+
(1) +n+%2B+5+=+17+
(1) +n+=+12+
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She has 5 quarters and 12 nickels
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check:
(2) +5%2A12+%2B+25%2A5+=+185+
(2) +60+%2B+125+=+185+
(2) +185+=+185+
OK

Answer by Alan3354(69443) About Me  (Show Source):
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sue has a collection of quarters and nickels. she has 17 coins whose total value is $1.85. How many of each type of coin does she have
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17 nickels = 85 cents
Each nickel replaced by a quarter add 20 cents.
----
185 - 85 = 100 cents
100/20 = 5 quarters
etc