SOLUTION: Lilly bought 16 socks alltogether for $260. Brand x cost $15 dollars each & brand y cost $20 how many of each type did she buy

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Question 481423: Lilly bought 16 socks alltogether for $260. Brand x cost $15 dollars each & brand y cost $20 how many of each type did she buy
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of brand x socks she bought
Let +y+ = number of brand y socks she bought
given:
(1) +x+%2B+y+=+16+
(2) +15x+%2B+20y+=+260+
-------------------
Multiply both sides of (1) by +15+
and subtract (1) from (2)
(2) +15x+%2B+20y+=+260+
(1) +-15x+-+15y+=+-240+
+5y+=+20+
+y+=+4+
and, since
(1) +x+%2B+y+=+16+
(1) +x+%2B+4+=+16+
(1) +x+=+12+
She bought 12 of brand x and 4 of brand y