A cereal manufacturer puts a 50-cent coupon in every eighth box and a free coupon in every hundredth box. What is the first time you would get both coupons in the same box?

Question

AL2006 · Answer

What you need is the 'Least Common Multiple' of 8 and 100. 
 The 200th box will contain the 2nd free coupon and the 25th 50-cent coupon.

AL2006 · Answer

The first box that contains both a 50-cent coupon and a free coupon is the 200th box. In this box, you receive the 25th 50-cent coupon and the 2nd free coupon. This is determined by finding the least common multiple of 8 and 100, which is 200. 
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A cereal manufacturer puts a 50-cent coupon in every eighth box and a free coupon in every hundredth box. What is the first time you would get both coupons in the same box?

Answer (2)

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