Question

A group of children, adults, and senior citizens attended three different art exhibits that have different ticket prices for each age group. Let c represent the number of children, a represent the number of adults, and s represent the number of senior citizens. The system represents the cost of each type of ticket and the total cost of the tickets for all three exhibits. What are the numbers of children, adults, and seniors citizens that attended these three exhibits?

mc023-1.jpg
120 children, 30 adults, and 30 senior citizens
20 children, 40 adults, and 70 senior citizens
100 children, 50 adults, and 5 senior citizens
100 children, 50 adults, and 20 senior citizens

Answer 1

I can’t see the image file (mc023-1.jpg). Could you either paste the three equations here or upload the image?

If you paste them, type them like:
3c + 5a + 2s = 350
2c + 4a + 6s = 520
c + 2a + 3s = 210

(Or just paste whatever the actual system is.) Once I have the equations I’ll solve them and check which of the four choices is correct.

If you prefer, I can also test each of the four answer choices by plugging them into the three equations — just paste the equations and I’ll do that.