A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a combination of red and white roses without any roses leftover, how many white roses are in each bouquet?.

Respuesta :

The number of white roses left in each bouquet is 5.

Explain the term Greatest Common Factor?

  • A group of numbers' greatest common factor (GCF) is the biggest factor that almost all numbers have in common.
  • The biggest number it is a factor for two or more integers is known as the GCF.

You must identify the most prevalent common factor for this task (GCF).

The actions are:

  • 1. Divide the supplied numbers into prime factors.
  • 2. Select the usual ones, then multiply them.

The florist's stock of 72 red roses with 40 white roses reveals what the most common factor is, which is:

72 = 2×2×2×3×3 = 2³×3²

40 = 2×2×2×5 = 2³×5

GCF = 2³

Divide this number of white roses in the first bouquet (40 roses) first by Greatest Common Factor to get how many white roses are in each arrangement.

The result is:

= 40 white roses / 8

= 5 white roses

Thus, number of white roses left in each bouquet is 5.

To know more about the Greatest Common Factor, here

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