Abigail is making flower bouquets. she has 16 roses and 20 carnations. she wants to make identical bouquets and use all the flowers. what is the greatest number of bouquets she can make?

four bouquets

Step-by-step explanation:

The way of solving this problem is tell Abigail to keep the relation between flowers constant, that is

We have  16 roses   and 20 carnations

16  2       16  =  2⁴      20  2     20 = 2² * 5

8   2                           10   2

4   2                            5   5

2   2                             1

1

So we will make bouquets of 4 roses and 5 carnations

so we will have  4 bouquets using all flowers

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.