Riverside Elementary School is holding a school-wide election to choose a school color. Five eighths of the votes were for blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were for red. Seven-tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all votes? Support your answer with a sentence.

a. 180 votes were for blue

b. 60 votes were for green

Step-by-step explanation:

Fractions

It's known 5/8 of the votes of a school-wide election were for painting the school blue. Suppose there were x voters in school.

Since 5/8 were for blue, then

Were for the rest of the colors. It's also known 5/9 of the remaining votes were for green, thus

of the remaining votes were for red.

The votes for red are:

of the total voters.

We know these were 48 votes, thus

There were 288 voters in school.

a. 5/8 were for blue, that is:

180 votes were for blue

b. 288-180 = 108 votes were for others than blue, and 5/9 of them were for green:

60 votes were for green and 108-60=48 votes were for red (as expected)