2/9of 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.
Then, the number of children in the restaurant is x + 95.
Given that 2/9 of the people in the restaurant are adults, we can set up the equation:
x = (2/9)(x + 95)
Multiplying both sides by 9 to get rid of the fraction:
9x = 2(x + 95)
9x = 2x + 190
7x = 190
x = 190/7
x = 27.14
Therefore, there are approximately 27 adults in the restaurant.
Number of children:
x + 95 = 27 + 95 = 122
Therefore, there are 27 adults and 122 children in the restaurant.