for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell

Question

I'm too stupid

Answer 1

s=# of student tickets

a=# of adult tickets

a+s=85

5s+10a=600

a+s=85 so 85-s=a

substitute

5s+10(85-s)=600

5s+850-10s=600

-5s+850=600

-5s=-850+600

-5s=-250

5s=250

s=250/5

s=50 student tickets

85-50=35 adult tickets

Answer 2

Here's what we know:

s + a = 85 (the number of student and adult tickets sold is 85)

5s + 10a = 600 (the amount of money from the tickets is 600)

 

Let's try the elimination method to solve this. Multiply the first equation by -5:

-5s - 5a = -425

5s + 10a = 600

--------------------

5a = 175

Divide both sides by 5 to isolate a:

a = 35

 

Now that we know the number of adults, we can solve for children:

s + 35 = 85

Subtract 35

s = 50

 

Check:

50 * 5 + 35 * 10 = 600

250 * 350 = 600

600 = 600