Cheryl decided to create a flower bed in front of her house. One half of her flower bed is planted with pink tulips. She plants three-quarters of the rest of the ground with purple iris. After that she plants one half of what remains with orange marigolds. The rest of the ground is planted with red gladiolas. What percent of her garden is planted with red gladiolas?

So 1/2 of 1 is 1/2 for pink tulips
There is 1 half left so 3/4 of 1/2 is 3/8 purple iris
1/2 +3/8 is 7/8 so there is 1/8 left
So 1/2 of 1/8 is 1/16
This is where I mess up
She can't have planted 15/16 of her garden with red gladiolas so is the answer just x?

you found the answer...1/16

6.25%

area = A

A/2 = pink Tulips

(3/8) A = purple iris

A/2 -(3/8) A = (1/8) A left

(1/2)(1/8) A = 1/16 A = left

so we want 1/16
You did fine
(1/16)* 100 = 6.25 %

1/16

1/16*100= 6.25%

To determine the percentage of Cheryl's garden that is planted with red gladiolas, we need to calculate the fraction of the garden occupied by red gladiolas and then convert it to a percentage.

We have already established that 1/2 is taken up by pink tulips, 3/8 is occupied by purple iris, and 1/16 is planted with orange marigolds. So, the remaining fraction of the garden that is planted with red gladiolas can be calculated by subtracting the fractions we have used so far from 1:

1 - 1/2 - 3/8 - 1/16 = 1/16

Therefore, 1/16 of Cheryl's garden is planted with red gladiolas.

To convert a fraction to a percentage, we can multiply it by 100. In this case:

(1/16) * 100 = 6.25

So, approximately 6.25% of Cheryl's garden is planted with red gladiolas.