SOLUTION: George and Dale have been assigned the same number of math problems for homework. George has finished 22 problems, and Dale has finished 6 problems. If dale has three times as many
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Question 1093467: George and Dale have been assigned the same number of math problems for homework. George has finished 22 problems, and Dale has finished 6 problems. If dale has three times as many problems remaining as George does, how many problems was George originally assigned? Answer by ikleyn(52776) (Show Source):
Let the integer number N be the total number of problems assigned to each separately.
When George solved 22 problems, (N-22) problems remained to solve.
When Dale solved 6 problems, (N-6) problems remained to solve.
The condition says that
N-6 = 3*(N-22).
Simplify and solve:
N - 6 = 3N - 66,
66 - 6 = 3N - N,
2N = 60 ====> N = = 30.
Answer. In all, 30 problems were assigned to each.
Check. Please make check on your own.
