SOLUTION: 50 children bought either chocolate or white milk. Chocolate milk costs $.30 and white milk costs $.25. the total cost of milk sold was 13.30.How man chocolate and white milks were

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Question 585870: 50 children bought either chocolate or white milk. Chocolate milk costs $.30 and white milk costs $.25. the total cost of milk sold was 13.30.How man chocolate and white milks were sold?
Easiest way to solve this.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = number of white milks sold
Let b = number of chocolate milks sold
given:
(1) +a+%2B+b+=+50+
(2) +25a+%2B+30b+=+1330+ ( in cents )
-------------------
Multiply both sides of (1) by +25+
and subtract (1) from (2)
(2) +25a+%2B+30b+=+1330+
(1) +-25a+-+25b+=+-1250+
+5b+=+80+
+b+=+16+
and, since
(1) +a+%2B+b+=+50+
(1) +a+%2B+16+=+50+
(1) +a+=+34+
34 white milks were sold
16 chocolate milks were sold
check answer:
(2) +25a+%2B+30b+=+1330+
(2) +25%2A34+%2B+30%2A16+=+1330+%7D%7D%0D%0A%282%29+%7B%7B%7B+850+%2B+480+=+1330+
(2) +1330+=+1330+
OK