# In a club, the ratio of the number of adults to the number of children is 12 :7. The ratio of the number of boys to the number of girls is 3 : 2. If there are 42 girls, how many members are there altogether?

2
by SHASHANKSen

2014-05-25T08:44:27+05:30
Given no. of adult to the no.children:-12/7
boys to girls:-3/2
no.of girls:-42
3/2+12/7=45/14 to the no .girls
45/14x42
=135 (ans)
so, no of members =135

• Brainly User
2014-05-25T08:56:59+05:30
In a club, the ratio of the number of adults to the number of children is 12 :7. The ratio of the number of boys to the number of girls is 3 : 2. If there are 42 girls, how many members are there altogether?
solution :------
Let the Number of adults = 12x
and the number of children = 7x
According to question ,
Number of boys / number of girls = 3/2
Number of boys  =  3/2 * number of girls.
Given , Number of girls = 42
Therefore Number of boys  = 3/2 * 42
= 3*21
= 63
Therefore Number of Boys = 63

Both Boys and girls are children , therefore number of Children = number of boys + number of gilrs
= 63 + 42
= 105
Number of children = 105
therefore , 7x = 105
=> x = 105/7
=> x = 15

Hence Number of Adults = 12 x
=  12 * 15
= 180

Therefore , total members = adults + children
= 180 + 105
= 285

Hope this helps you !!!
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