From Korean GMAT quiz

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From Korean GMAT quiz

by kapitalist » Wed Aug 26, 2009 11:06 pm
Each machine of type A has 3 steel parts and 2 chrome parts, each machine of type B has 4 steel parts and 7 chrome parts. If a certain group of type A and type B machines has a total of 20 steel parts and 22 chrome parts, how many machines are in the group?


Answer is supposedly 6, please exain how to solve. Thanks!
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by tohellandback » Thu Aug 27, 2009 12:28 am
if total number of machines A are A
and total number of B machines are B

total number of steel parts are 20

3A+4B=20
total chrome parts are 22
2A+7B=22

solve and you get B=2 and A=4
total=6
The powers of two are bloody impolite!!