a punch recipe calls for equal amounts of pineapple juice and orange juice. pineapple juice comes in 6- ounce cans and orange juice comes in 10 ounce cans. what is the least amount of each kind of juice that can be mixed without having any left over

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What is the least common multiple of 6 and 10?

To find the least amount of each kind of juice that can be mixed without having any left over, we need to find the greatest common divisor (GCD) of the total amounts of each type of can.

The pineapple juice comes in 6-ounce cans, and the orange juice comes in 10-ounce cans.

GCD(6, 10) = 2

Therefore, the least amount of each kind of juice that can be mixed without having any left over is 2 ounces of pineapple juice and 2 ounces of orange juice.

To find the least amount of each kind of juice that can be mixed without having any left over, we need to find the greatest common divisor (GCD) of the two amounts, which represents the largest common factor between them.

In this case, we have 6-ounce cans of pineapple juice and 10-ounce cans of orange juice. The GCD of 6 and 10 will give us the least amount without any leftovers.

To find the GCD, you can use several methods, but one common approach is to list the factors of each number and find the largest factor they have in common.

Factors of 6: 1, 2, 3, 6
Factors of 10: 1, 2, 5, 10

From the lists above, we can see that the largest common factor (GCD) between 6 and 10 is 2.

So, the least amount of each kind of juice that can be mixed without any left over is 2 ounces of pineapple juice and 2 ounces of orange juice.