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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

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