SOLUTION: How many positive integers less than 1,000 are multiples of 5 and are equal to 3 times an even integer.

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Question 463167: How many positive integers less than 1,000 are multiples of 5 and are equal to 3 times an even integer.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
"Equal to 3 times an even integer" is just a strange, tricky way of saying "is a multiple of 6." Also, if a number is a multiple of 5 and 6, it must be a multiple of 30. Here, all we have to do is count the multiples of 30 up to 1000, which are 30, 60, 90, ..., 990, or 33 numbers.