Question

Bottles of water come in packages of 6. Cheese sticks come in packages of 10.

What is the least number of packages of each a person has to buy to have the same number of bottles of water and cheese sticks?

Drag and drop a number into each box to complete the statement.
That person needs to buy Response area packages of bottles water and Response area packages of cheese sticks.

Answer 1

5 water 3 cheeseticks

Explanation:

Answer 2

• water: 5 packages
• cheese sticks: 3 packages

Explanation:

The number of bottles of water and cheese sticks will be the same when both numbers are equal to the least common multiple (LCM) of 6 and 10, the numbers in each kind of package.

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The LCM can be found by factoring out the greatest common divisor of each of the numbers:

6 = 2 × 3

10 = 2 × 5

The LCM is the product of the unique numbers here: 2 × 3 × 5 = 30.

The number of packages of bottles of water will be 30/6 = 5 packages.

The number of packages of cheese sticks will be 30/10 = 3 packages.

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Additional comment

You may notice that the number of packages of each kind is the unique factor in the other number.