2/9 of the people in a restaurant are adults. If there are 95 more children than adults, how many adults are there in the restaurant? How many children are there in the restaurant? Be sure to include a therefore statement; show your work for full marks. 4 marks]
Let x be the total number of people in the restaurant.
Given that 2/9 of the people are adults, the number of adults can be represented as (2/9)x.
The number of children in the restaurant is given as 95 more than the number of adults, so the number of children can be represented as (2/9)x + 95.
Since the total number of people is the sum of adults and children, we can write the equation:
x = (2/9)x + (2/9)x + 95
Simplifying, we get:
x = (4/9)x + 95
(5/9)x = 95
x = (9/5) * 95
x = 171
Therefore, there are (2/9)*171 = 38 adults in the restaurant.
And there are (7/9)*171 = 133 children in the restaurant.