SOLUTION: Mountainside Fleece sold 40 neck warmers. Solid color warmers sold for $9.90 each and colored ones sold for $12.75 each. In all $421.65 was collected. How many of each were sold

Question 259815: Mountainside Fleece sold 40 neck warmers. Solid color warmers sold for $9.90 each and colored ones sold for $12.75 each. In all $421.65 was collected. How many of each were sold?!
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let C = colored, and S = solid
We create two equations from the given
(i)
(ii)
First get rid of the decimals in (ii) and write
(iii)
--
step 1 - solve (i) for S and we get
(iv)
step 2 - substitute (iv) into (iii) to get
(v)
distribute and simplify to get
(vi)
subtract to get
(vii)
divide to get

so, we have

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