A father challenged his son to do his best in solving the problems given as his homework. As part of the challenge, the father promise his son to pay 50 for each problem solved correctly but the son will have to pay 20 for each problem solved incorrectly and 10 for problems partially solved correctly. After solving 35 problems, the son was assessed to pay his father 150. The amount the son pays for the problems solved incorrectly is the same as that for problems partially solved correctly.   Questions: How many problems did the boy solved correctly? How many problems did the boy partially solved correctly? How many problems did the boy solved incorrectly?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
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A father challenged his son to do his best in solving the problems given as his homework. As part of the challenge, the father promise his son to pay 50 for each problem solved correctly but the son will have to pay 20 for each problem solved incorrectly and 10 for problems partially solved correctly. After solving 35 problems, the son was assessed to pay his father 150. The amount the son pays for the problems solved incorrectly is the same as that for problems partially solved correctly.

 

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  1. How many problems did the boy solved correctly?
  2. How many problems did the boy partially solved correctly?
  3. How many problems did the boy solved incorrectly?
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