The ratio of boys to girls in a group is 7:3. If there are 40 more boys than girls, work out how many people there are in total.
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let no. of boys be "x"
let no. of girls be "y"
x/y = 7/3 ----- 1
acc. to the question,
boys = 40+y------2
now, putting this in eq. 1
40+y/y = 7/3
(cross multiplying)
120+3y = 7y
120= 7y-3y
120/4=y
30=y
therefore, girls = 30
now acc. to eq.2
boys = 40 +30 = 70
TOTAL = 70+30 =100
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