Question

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

Answer 1

33 students

Explanation:

nr of boys-b

nr of girls-g

b/g=4/7

*7 *7

7b/g=4

*g *g

7b=4g

we know b+g=24.....40

*4 *4

4b+4g=between 96(24*4) and 160(40*4)

but 4g=7b

4b+7b= 96.......160

11b=96.....160

but multiple of 11 could be 99,110,121, 132, 143, 154

then b could be 9,10,11,12,13 or 14

if b=12

7b=4g so 7*12=4*g then g=7*12/4=84/4=21

then 12+21=33 students