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There was a total of 41 pupils in a class. Each girl made 35 bookmarks while each boy made 20 bookmarks for a fundraising project. The total number of bookmarks made by all the pupils was 1165. How many girls were there in the class?

Oct 5, 2021

#1
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Supposed there were 41 boys in the class,

41 × 20 = 820

(short of) 1165 - 820 = 345

(difference) 35 - 20 = 15

No. of girls in the class

= 345 ÷ 15

= 23

23 girls were in the class.

Oct 5, 2021
#2
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There was a total of 41 pupils in a class. Each girl made 35 bookmarks while each boy made 20 bookmarks for a fundraising project. The total number of bookmarks made by all the pupils was 1165. How many girls were there in the class?

Let G represent the number of girls

Let B represent the number of boys

G + B = 41                    (equation 1)

35G + 20B = 1165        (equation 2)

Multiply eq 1 by 20              20G + 20B = 820     (equation 3)

Subtract eq 3 from eq 2       35G + 20B = 1165

20G + 20B =   820

15G           =  345

G           =    23 girls

You can substitute 23 into equation 1 to find the number of boys,

but the problem didn't ask for the number of boys.

Oct 5, 2021