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

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

anonymous · Answer

3a + 2c = 118 -->(2)
2a - .5c = 20 -->(-3)
------------
6a + 4c = 236
-6a + 1.5c = - 60
--------------add
5.5c = 176
c = 176/5.5
c = 32

3a + 2c = 118
3a + 2(32) = 118
3a + 64 = 118
3a = 118 - 64
3a = 54
a = 54/3
a = 18

adults 18, children 32

anonymous · Answer

You did a great job :) at explain

anonymous · Answer

sorry I took so long....I kept messing up ...lol. I finally got it :)

anonymous · Answer

its ok

anonymous · Answer

you did great

anonymous · Answer

thanks :)