Question

At a musical, 400 tickets were sold. Adult tickets sold for $8 and student tickets sold for $5. If the total amount collected was $2450, how many adult tickets were sold?

Answer 1

a+s=400
8a+s*5=2450

Answer 2

solve for a

Answer 3

Irene do you know how to solve this?

Answer 4

No, that's why i'm asking how to solve it. I don't know how to put it into an equation.

Answer 5

You can solve using a)substitution b)elimination

Answer 6

For this problem, sub is easier

Answer 7

Okay, I did that. I solved for variable a and got a decimal.

Answer 8

let's use elimination instead
a+s=400
8a+s*5=2450

-5a-5s=-2000
8a+5s=2450

Answer 9

I multiplied the first equation by -5 so variable 's' cancel out

Answer 10

add two equation together

-5a-5s=-2000
8a+5s=2450
------------------
3a=450
a=450/3

Answer 11

Any question on what I did?

Answer 12

How did ou get -2000?

Answer 13

*you

Answer 14

I multiplied this equation ( a+s=400 ) by -5

Answer 15

Solved using substitution(another method(
1)a+s=400
2)8a+5s=2450
Rearrange the first equation
s=400-a
plug value of s into second equation
8a+5s=2450
8a+5(400-a)=2450
8a+2000-5a=2450
3a=450
a=450/3

Answer 16

Any question?

Answer 17

How do you get -5 in the first place?

Answer 18

I chose to multiply by -5 so that when I add the two equation, variable 's' would cancel

Answer 19

You can multiply an equation by any number as long as you do it on both side of equality

Answer 20

Ohhhhh! Got it.