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OpenStudy (vbcvbcbcvbvc):
There are nickels and quarters worth $2.20 in total. If there are 28 coins, how many nickels are there?
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jimthompson5910 (jim_thompson5910):
Let
n = number of nickels
q = number of quarters
`there are 28 coins` so
n+q = 28
Solve for q to get
q = 28 - n
With me so far?
OpenStudy (vbcvbcbcvbvc):
ok
OpenStudy (vbcvbcbcvbvc):
that's it ?
jimthompson5910 (jim_thompson5910):
`There are nickels and quarters worth $2.20 in total`
so we know the other equation to be
0.05*n + 0.25*q = 2.20
OpenStudy (vbcvbcbcvbvc):
ok
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jimthompson5910 (jim_thompson5910):
Now plug in q = 28 - n
0.05*n + 0.25*q = 2.20
0.05*n + 0.25*(28 - n) = 2.20
solve for n and tell me what you get
OpenStudy (vbcvbcbcvbvc):
wait ook
OpenStudy (vbcvbcbcvbvc):
24
jimthompson5910 (jim_thompson5910):
good, now use this to find q
q = 28 - n
plug in n = 24
OpenStudy (vbcvbcbcvbvc):
4?
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jimthompson5910 (jim_thompson5910):
n = 24
q = 4
so there are 24 nickels and 4 quarters
OpenStudy (vbcvbcbcvbvc):
my answer is 24 or 4 ?
jimthompson5910 (jim_thompson5910):
Go back to what it's asking `If there are 28 coins, how many nickels are there?`
OpenStudy (vbcvbcbcvbvc):
oh 24
jimthompson5910 (jim_thompson5910):
yes
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OpenStudy (vbcvbcbcvbvc):
Thank you,
You are a life saver
OpenStudy (vbcvbcbcvbvc):
i am posting another question
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