contestada

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.

Respuesta :

sqdancefan

Answer:

  • water: 5 packages
  • cheese sticks: 3 packages

Step-by-step 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.

__

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.

_____

Additional comment

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

Otras preguntas