Question 715038:
The sum of John and Kevin's age is 74. In three years, John will be three times as old as Kevin. How old are John and Kevin now?
A movie theater charges $ 10 for an adult ticket and 6 $ for a child's ticket. The screening of a new movie had attendance of 335 patrons ( adults and children) and generated revenue of $ 2 590. How many adults and how many children attended the movie screening?
Answer by checkley79(3341)   (Show Source):
You can put this solution on YOUR website! J+K=74
J+3=3(K+3)
J+3=3K+9
J=3K+9-3
J=3K+6
(3K+6)+K=74
4K=74-6
4K=68
X=68/4
K=17 AGE OF KEVIN NOW.
J+17=74
J=74-17
J=57 AGE OF JOHN NOW.
PROOF:
57+3=3(17+3)
60=3*20
60=60
#############################
A+C=335
A=335-C
10A+6C=2,590
10(335-C)+6C=2,590
3,350-10C+6C=2,590
-4C=2,590-3,350
-4C=-760
C=-760/-4
C=190 CHILDREN'S TICKETS WERE SOLD.
A+190=335
A=335-190
A=145 ADULT TICKETS WERE SOLD.
PROOF:
10*145+190*6=2,590
1,450+1,140=2,590
2,590=2,590
|
|
|
