an amount of rs.1450 is to be divided among 800 boys and girls. so that each boy gets rs.2 and each girl gets rs.1.50 what is the ratio of no.of boys and girls
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Answer:
5:3
Step-by-step explanation:
let no. of boys be x and girls be y
total no. of boys and girls combine=800
x+y=800
multiplying equation by 2-
2x+2y=1600 _____(i)
according to second condition-
2x+1.5y=1450 ______(ii)
substrating equation (ii) from (i)-
2x+2y-2x-1.5y=1600-1450
0.5y=150
y=150/0.5=300
no. of girls=y=300
putting the value of y in equation (i) -
x+y=800
x=800-y=800-300=500
no. of boys =x=500
ratio of boys to girls=500:300=5:3
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