SOLUTION: Tim's piggy bank contain's niclels, dime, and quarters. There are twice as many nickles as dimes and four more quarters than nickles. The total value of all the coins is $9.4 find

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Question 264391: Tim's piggy bank contain's niclels, dime, and quarters. There are twice as many nickles as dimes and four more quarters than nickles. The total value of all the coins is $9.4 find the number of each type of coin.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
(i) n+=+2d
(ii) q+=+n+%2B+4
(iii) 5n+%2B+10d+%2B+25q+=+940
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step 1 - by substitution, we get
(iv) 5n+%2B+10%28n%2F2%29+%2B+25%28n%2B4%29+=+940
step 2 - by distributive property we get
(v) 5n+%2B+5n+%2B25n+%2B+100+=+940
step 3 - combine like terms to get
(vi) 35n+%2B+100+=+940
step 4 - subtract to get
(vii) 35n+=+840
step 5 - divide to get
n+=+24
d+=+12
q+=+28