Q:

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?

Accepted Solution

A:
Answer: 16 flowers are pink.Step-by-step explanation: According to the exercise, the total number of flowers in Mrs. Elliott's garden is: [tex]total\ flowers=128[/tex] You know that [tex]\frac{1}{8}[/tex] of the flowers are red, then, the number of red flowers is: [tex]red=(128)(\frac{1}{8})=16[/tex] Since [tex]\frac{1}{4}[/tex] of them are purple, the number of purple flowers is: [tex]purple=(128)(\frac{1}{4})=32[/tex] 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: [tex]remaining=128-16-32=80[/tex] Since  [tex]\frac{1}{5}[/tex] of the remaining flowers are pink, then: [tex]pink=(80)(\frac{1}{5})=16[/tex]