SOLUTION: one bag contains 43 coins, coins are $2 and $5. find the number of coins of each denomination if there is $167 in total

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Question 1023342: one bag contains 43 coins, coins are $2 and $5. find the number of coins of each denomination if there is $167 in total
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers of $2 and $5 coins, x and y. Then we write
x + y = 43 and the value equation is
2x + 5y = 167
Multiply the top one by two and subtract...we get
2x + 5y = 167
-(2x + 2y = 86)
-----------------
3y = 81
y = 27 $5 coins and thus there are
x = 16 $2 coins