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

36 flowers

Explanation:

Given

`Red = (1)/(5)`

`White = (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`

`(1)/(5) + (3)/(10) + Y = 1`

`(2+ 3)/(10) + Y = 1`

`(5)/(10) + Y = 1`

`Y = 1 - (5)/(10)`

`Y = (10 -5)/(10)`

`Y = (5)/(10)`

`Y = (1)/(2)`

Let the number of flowers by N;

The yellow flowers can be represented as;

`18 = (1)/(2) * N`

Solve for N

`N = (18 * 2)/(1)`

`N = (36)/(1)`

`N = 36`