At a party, the ratio of the number of boys to the number of girls is 3 : 2. If each boy is given 2 stickers while each girl is given 3 stickers, a total of 1992 stickers are needed. How many boys and girls are at the party?
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Answer:
Step-by-step explanation:
The ratio is given as 3:2 we can also write it as 3x and 2x
So therefore,
No. Of boys = 3x
No. Of girls =2x
It is given in the question that each boy got 2 stickers and each girl got 3 stickers
So therefore,
No. Of stickers 3x boys got =
3x ×2=6x
No. Of stickers 2x girls got =
2x × 3 =6x
Total no. Of stickers needed =
No. Of stickers boys got +No. Of stickers girls got i.e,6x + 6x =12x
We are given that total no. Of stickers needed is 1992 .
So therefore
12x = 1992
x = 1992÷12
= 166
We got value of X as 166
So therefore
No. Of boys = 166×3 =498
No. Of girls = 166×2 = 332
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