Question

The Downtown Community Barbecue served 280 dinners. A child’s plate cost $2.60 and an adult’s plate cost $9.50. A total of $1,797.50 was collected. How many of each type of plate was served?

Round answers to the nearest whole person.

child plates were served.
adult plates were served.

Answer 1

the number of child plates and adults plates were served is 125 and 155 respectively

Explanation:

Let us assume the child plate be x

And, the adult plates be y

Now according to the question

x + y = 280 .................(1)

2.60x + 9.50y = 1797.50 .............(2)

Now multiply by 2.60x in equation (1)

2.60x + 2.60y = 728

2.60x + 9.50y = 1797.50

-6.90y = -1069.50

y = 155

So, x = 280 - 155

= 125

hence, the number of child plates and adults plates were served is 125 and 155 respectively