Question

Angelo took a group of people to the movies and spent $80 on tickets. Adult tickets cost $10 and child tickets cost $6. The equation to represent his cost is 10A + 6C = $80. If there were 5 children in the group, how many adult tickets did he purchase? Show your work and use a complete sentence to explain your solution in the context of the original problem , please help me step by step

Answer 1

@ganeshie8

Answer 2

10A + 6C = $80

Answer 3

you're given that there were 5 children in the group

Answer 4

so simply plugin C = 5 and solve for A

Answer 5

10A + 6*5 = 80

10A + 30 = 80

Answer 6

solve A

Answer 7

how do I solve A?

Answer 8

First you need to isolate the term that contains the A, so "move the 30" to the other side by subtracting it from both sides. What does that give you?

Answer 9

what am I subtracting 30 too?:O

Answer 10

It's an equation. You can apply the equality properties to an equation - add/subtract the same number from each side. Multiply/divide on each side by the same non-zero number. Use these to solve equations (you should already have covered basic equation solving techniques, given this problem).

E.g.: if:

2x+10=14 subtract 10 from each side
2x+10-10=14-10
2x=4

Now you try it with
10A + 30 = 80

Subtract 30 from each side. What do you get? (do JUST that step)

Answer 11

a=50?

Answer 12

@DebbieG

Answer 13

Not A=50.....

10A+30=80
10A+30-30=80-30
10A=50

Where did your 10 go?

Answer 14

oh I understand !

Answer 15

is that all I do?

Answer 16

No, that was the first step. So now you have:

10A=50

Then what does A=??

Answer 17

a=5

Answer 18

very good. :)

Answer 19

thank you so muchhh(: