There are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students in the class

Question

Mathematics

Herring

10 November, 14:05

There are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students in the class

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Chaim Haley · Answer 1

B/g=4/7, 4g=7b, ⇒ b is a multiple of 4 g=7b/4

24< b+g<40

24
24*4< 4b+7b< 40*4

96<11b<160

11b ∈{99, 110, 121, 132, 143, 154}

b∈{9,10,11,12,13,14 }

b is a multiple of 4 ⇒ b=12

g=7b/4=7*12/4

g=21