SOLUTION: can you help me solve this problem sir.... 1.) In order to encourage his son to study mathematics, a father agrees to pay his boy 50 centavos for every problem correctly solved, a

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Question 214344: can you help me solve this problem sir....
1.) In order to encourage his son to study mathematics, a father agrees to pay his boy 50 centavos for every problem correctly solved, and to fine him 25 centavos for each incorrect solution.At the end of 30 problems neither owed anything to the other.How many did the boy solved correctly?


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of problems he solved correctly
30+-+x will = the number he solved incorrectly
given:
50x+=+25%2A%2830+-+x%29
50x+=+750+-+25x
75x+=+750
x+=+10
30+-+x+=+20
The boy solved 10 correctly
check:
50x+=+25%2A%2830+-+x%29
50%2A10+=+25%2A%2830+-+10%29
500+=+25%2A20
500+=+500
OK