A school garden has flowers of three colors: red, yellow, and white. Red flowers make up \… — ACT

A school garden has flowers of three colors: red, yellow, and white. Red flowers make up $\frac{2}{5}$ of the garden, yellow flowers make up $\frac{1}{4}$ of the garden, and the remaining flowers are white. What percentage of the flowers in the garden are white?

A
33%
35%Answer
C
54%
D
65%
E
67%

Answer

The percentage of white flowers in the garden is 35%.

To find the percentage of white flowers, we convert the fractional parts of the other flowers to percentages: red flowers make up

\frac{2}{5} = 40\%

of the garden, and yellow flowers make up

\frac{1}{4} = 25\%

of the garden. Adding these together, red and yellow flowers account for

40\% + 25\% = 65\%

of the garden. Subtracting this from the total garden (

100\%

) yields

100\% - 65\% = 35\%

for the white flowers.

Step-by-Step Solution

Convert the fraction of red flowers to a percentage.

\frac{2}{5} = 0.40 = 40\%

Converting all components to percentages allows for direct addition and subtraction.

Convert the fraction of yellow flowers to a percentage.

\frac{1}{4} = 0.25 = 25\%

This puts the yellow flowers in the same percentage unit as the red flowers.

Add the percentages of red and yellow flowers to find their combined share of the garden.

40\% + 25\% = 65\%

This gives the total portion of the garden occupied by non-white flowers.

Subtract the combined share from the total garden percentage (100%) to find the percentage of white flowers.

100\% - 65\% = 35\%

Since the entire garden represents 100%, subtracting the non-white portion yields the remaining white portion.

Key Concept

Converting fractions to percentages to solve part-to-whole word problems.

Estimated Time:45s

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