Question

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?
A) 3
B) 5
C) 7
D) 8

Answer 1

Answer: OPTION B.

Step-by-step explanation:

For this exercise you need to find the Greatest Common Factor (GCF).

The steps are:

1. Descompose the given numbers into their prime factors.

2. Choose the common ones and multiply them.

Then, knowing that the florist has 72 red roses and 40 white roses, you get that the Greatest Common Factor is:

$72=2*2*2*3*3=2^3*3^2 \\\\40=2*2*2*5=2^3*5\\\\\\GCF=2^3=8$

In order to find the number of white roses in each bouquet, you need to divide the number of white roses the florirst has (40 roses) by the Greatest Common Factor.

Then, you get:

$\frac{40\ white\ roses}{8}=5\ white\ roses$

Answer 2

Answer:

b.

Step-by-step explanation:

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