SOLUTION: will sold 190 caramel and almond candy bars. he earns $.60 for each caramel bar and $2 for each almond bar he sells. If he earns $282 how many of each type did he sell?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: will sold 190 caramel and almond candy bars. he earns $.60 for each caramel bar and $2 for each almond bar he sells. If he earns $282 how many of each type did he sell?      Log On


   

Question 1007161: will sold 190 caramel and almond candy bars. he earns $.60 for each caramel bar and $2 for each almond bar he sells. If he earns $282 how many of each type did he sell?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of caramel bars he sold
Let +b+ = number of almond bars he sold
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(1) +a+%2B+b+=+190+
(2) +.6a+%2B+2b+=+282+
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(2) +6a+%2B+20b+=+2820+
(2) +3a+%2B+10b+=+1410+
Multiply both sides of (1) by +3+ and
subtract (1) from (2)
(2) +3a+%2B+10b+=+1410+
(1) +-3a+-+3b+=+-570+
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+7b+=+840+
+b+=+120+
and
(1) +a+%2B+b+=+190+
(1) +a+%2B+120+=+190+
(1) +a+=+70+
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70 = number of caramel bars he sold
120 = number of almond bars he sold
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check:
(2) +.6a+%2B+2b+=+282+
(2) +.6%2A70+%2B+2%2A120+=+282+
(2) +42+%2B+240+=+282+
(2) +282+=+282+
OK