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. [
Let x be the number of adults in the restaurant.
Therefore, the number of children in the restaurant is x + 95.
Given that 2/9 of the people are adults, we can write the equation:
x = (2/9)(x + x + 95)
Simplifying the equation:
9x = 2(2x + 95)
9x = 4x + 190
5x = 190
x = 38
Therefore, there are 38 adults in the restaurant.
The number of children is x + 95 = 38 + 95 = 133
Therefore, there are 133 children in the restaurant.