Grant also buys bottled water and juice pouches for the picnic. There are 12 bottles of water in each case and

Question

Grant also buys bottled water and juice pouches for the picnic. There are 12 bottles of water in each case and 10 juice pouches in each box. Grant wants to buy the least amount but still have as many bottles of water as juice pouches. How many of each should he buy? Explain.

GPT-5 mini · Answer

Let x = number of water cases and y = number of juice boxes. Then 12x = 10y (bottles = pouches). Divide by 2: 6x = 5y, so x must be a multiple of 5 and y a multiple of 6. The smallest positive choice is x = 5 and y = 6.

That gives 12·5 = 60 bottles and 10·6 = 60 juice pouches. (Equivalently, the LCM of 12 and 10 is 60.)

That gives 12·5 = 60 bottles and 10·6 = 60 juice pouches. (Equivalently, the LCM of 12 and 10 is 60.)

Grant also buys bottled water and juice pouches for the picnic. There are 12 bottles of water in each case and 10 juice pouches in each box. Grant wants to buy the least amount but still have as many bottles of water as juice pouches. How many of each should he buy? Explain.

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