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Conrad has a collection of three types of coins: nickels,dimes,and quarters.There are five more nickels than quarters but four times as many dimes as quarters.If the entire collection is worth $5.85,how
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Jul 28, 2017
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Conrad has a collection of three types of coins: nickels,dimes,and quarters.There are five more nickels than quarters but four times as many dimes as quarters.If the entire collection is worth $5.85,how many nickels,dimes,and quarters are there?
Mathematics
middle-school
Usama Majid
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Usama Majid
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n=number of nickles
d=number of dimes
q=number of quarters
use cents for everything
total value=585
5n+10d+25q=585
divide everybody by 5 to simplify
n+2d+5q=117
we have
nicles are 5 more than quarters
n=5+q
4 times as many dimes as quarters
d=4 times q
d=4q
sub those in
5+q+2(4q)+5q=117
5+6q+8q=117
5+14q=117
minus 5
14q=112
q=8
sub back
n=5+q
n=5+8
n=13
d=4q
d=4(8)
d=32
13 nickles
32 dimes
8 quarters
divide both sides by 22
Droidgren
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Aug 1, 2017
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Droidgren
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