Question

In Mrs. Elliott’s garden, 1/8 of the flowers are red, 1/4 of them are purple, and 1/5 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?

Answer 1

Answer: 16 flowers are pink.

Step-by-step explanation:

According to the exercise, the total number of flowers in Mrs. Elliott's garden is:

$total\ flowers=128$

You know that $\frac{1}{8}$ of the flowers are red, then, the number of red flowers is:

$red=(128)(\frac{1}{8})=16$

Since $\frac{1}{4}$ of them are purple, the number of purple flowers is:

$purple=(128)(\frac{1}{4})=32$

Subtracting the total number of flowers, the number of red flowers and the number of purple flowers, we get the number of the remaining flowers:

$remaining=128-16-32=80$

Since  $\frac{1}{5}$ of the remaining flowers are pink, then:

$pink=(80)(\frac{1}{5})=16$

Answer 2

There are 16 flowers that are pink.

Let, 1/8x of the flowers are red, 1/4x of them are purple, and 1/5x of the remaining flowers are pink.

There are 128 flowers.

What is the fraction?

A small or tiny part, amount, or proportion of something:

Then,

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/5 of fraction left ;

$=\dfrac{1}{5}\times \dfrac{5}{8}\\\\= \dfrac{1}{8}$

Therefore,

Number of pink flowers

Total number of flowers = 128

$= \dfrac{1}{8} \times 128\\\\=16$

Hence, there are 16 flowers that are pink.

To know more Fractions click the link given below.

https://brainly.com/question/1301963