Someone give me answers lol:
A magic show sold tickets for $2 for every child and $3 for every adult. The total sales were $118. The difference of two times the number of adults and half the children will total 20. Using the elimination method for the system of equations, what is the number of adults and children at the magic show?
A. adults = 5 children = 30
B. adults = 18 children = 32
C. adults = 16 children = 35
D. adults = 32 children = 18

Question

Someone give me answers lol:
A magic show sold tickets for $2 for every child and $3 for every adult. The total sales were $118. The difference of two times the number of adults and half the children will total 20. Using the elimination method for the system of equations, what is the number of adults and children at the magic show?
	A.	adults = 5 children = 30
	B.	adults = 18 children = 32
	C.	adults = 16 children = 35
	D.	adults = 32 children = 18

kainui · Answer

Try to make an equation out of these, like sentences with numbers really.

For instance, the first part it says 2 dollars per child. So that means if there were 3 children, it would be 6 dollars total to pay for them right? So it's just 2c for the total cost of all the children.

Now do the same for adults, 2c+3a and that's the price of all the children's tickets and adults. We were given that to be 118 dollars, right? So set them equal!

Now try it, and really try to understand it and I'll help you out.

anonymous · Answer

What's all that writing?  She asked for answers!

anonymous · Answer

thank you @Kainui ill try real quick!

anonymous · Answer

lol @geoffb

anonymous · Answer

So @Kainui, the equation is 2c+3a=118 right?

anonymous · Answer

That's right.

anonymous · Answer

And how exactly would I solve that? @Kainui

anonymous · Answer

or @geoffb

kainui · Answer

Well, you have two unknowns, so you need two equations. Now try to come up with a second equation from the word problem, and I'll help you along.

kainui · Answer

You only need to use the information in this sentence to make your other equation: "The difference of two times the number of adults and half the children will total 20."

anonymous · Answer

So 2c+3a=118 and 2a-?=20

kainui · Answer

Very good! The other term is just c/2 since that's just the children divided by 2, which is half. Now you can solve it.

anonymous · Answer

Would I have to rearrange the terms so that they match up? @Kainui

kainui · Answer

Yes, and then you can multiply both sides of one equation by a number and subtract it from the other so that you only have one variable left, solve for it, then plug that in and solve for the other.

anonymous · Answer

@Kainui so would the answer be D orrrr?
I think I did it wrong lol