Question

Lauren has a bouquet of flowers. 1/5 of the flowers are red. 3/10 of the flowers are white. The rest are yellow. Lauren’s bouquet has 18 yellow flowers. How many flowers are included in her bouquet?

Answer 1

Answer:

36 flowers

Step-by-step explanation:

Given

$Red = \frac{1}{5}$

$White = \frac{3}{10}$

$Yellow = 18$

Required

Determine the number of flowers

First, we need to determine the fraction of flowers that are yellow;

$R + W + Y = 1$

$\frac{1}{5} + \frac{3}{10} + Y = 1$

$\frac{2+ 3}{10} + Y = 1$

$\frac{5}{10} + Y = 1$

$Y = 1 - \frac{5}{10}$

$Y = \frac{10 -5}{10}$

$Y = \frac{5}{10}$

$Y = \frac{1}{2}$

Let the number of flowers by N;

The yellow flowers can be represented as;

$18 = \frac{1}{2} * N$

Solve for N

$N = \frac{18 * 2}{1}$

$N = \frac{36}{1}$

$N = 36$