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There are 42 integers in a group. If there are 5 times as many odd integers as there are even integers, how many numbers are even integers?
Let x be the number of even integers. Then odd integers are 5 times than even, or 5x. Since the group of integers are made of both odd and even integers, we can write as:
x (even integers) + 5x (odd integers) = 42 (integers in the group).
or, 6x = 42,
or, x = 7.
Final answer: there are 7 even integers.