Question

4. The Crazy Candy Company ships out chocolates in boxes of 4 candies and boxes of 10

Answer 1

Using the least common multiple of 4 and 10, it is found that the smallest number of candies each order could have contained is 20 candies.

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• There are boxes of 4 candies and of 10 candies.
• Thus, the smallest possible number of equal candies on two orders in the least common multiple of 4 and 10.
• To find this multiple, we factor both numbers by their prime factors, thus:

4 - 10|2

2 - 5|2

1 - 5|5

1

Thus, lcm(4,10) = 2*2*5 = 20.

• The smallest possible number is 20 candies, one order with 20/4 = 5 boxes of 4 candies, and the other with 20/10 = 2 boxes of 10 candies.

A similar problem is given at brainly.com/question/24540608