The ratio of boys and girls in a group is 7: 5. some girls are added to the group to make
the ratio 7: 8. if the final strength of the group is 375, then determine the number of girls
added to the group?
Answers
Answer: 75
Step-by-step explanation:
Total strength after addition of Girls: 375
Ratio of boys to girls : 7:8
Total number boys : = 375 * 7/15 = 175
Total number girls : 200
Earlier the ratio is 7:5. Let x be the total number of students earlier
So, 7*x/12 = 175
x = 175*12/7 = 300
Total number girls earlier = 300 -175 = 125
Number of girls added = 200 - 125 = 75
first number of boys = 7x
first number of girl= 5x
new number of boys=7y
number of girls= 8y
7y+8y=375
15y = 375
y=25
new number of girls = 25×8
=200
number of boys remain same
there for 7 x = 7 y
original number of boys=7×25
=175
175÷5x=7÷5
x=25
original number of girls=5×25
=125
number added to the group=200-125
= 75
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