2/9 of the people in the restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?
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Step-by-step explanation:
let the total number of people be x
and let y be the number of adults
so we have children =y+95
2/9 of x= y
2x/9=y ...... (1)
Now we know that total number of people - adults will give us the number of children.
x - 2x/9 = y+95
9x- 2x = 2x + 95
9 9
7x - 2x = 95
9 9
5x/9 = 95
x= 95×9/5 =19×9 = 171.
therefore y= 2x/9 = 2×171/9 =38
so number of children's = y+95= 38+95 =133
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