SOLUTION: WORD PROBLEMS: 282 PEOPLE ATTENED A RECENT PERFORMANCE OF CINDERELLA. ADULT TICKETS SOLD FOR $5 AND CHILDREN'S TICKETS SOLD FOR $3. FIND THE NUMBER OF ADULTS AND THE NUMBER OF CHI

Algebra ->  Matrices-and-determiminant -> SOLUTION: WORD PROBLEMS: 282 PEOPLE ATTENED A RECENT PERFORMANCE OF CINDERELLA. ADULT TICKETS SOLD FOR $5 AND CHILDREN'S TICKETS SOLD FOR $3. FIND THE NUMBER OF ADULTS AND THE NUMBER OF CHI      Log On


   

Question 140724: WORD PROBLEMS:
282 PEOPLE ATTENED A RECENT PERFORMANCE OF CINDERELLA. ADULT TICKETS SOLD FOR $5 AND CHILDREN'S TICKETS SOLD FOR $3. FIND THE NUMBER OF ADULTS AND THE NUMBER OF CHILDREN THAT ATTENDED THE PLAY IF THE TOTAL REVENUE WAS $1046.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name your variables.
A-adult ticket
C-child ticket
1.A%2BC=282
2.5%2AA%2B3%2AC=1046
Use equation 1 to solve for A in terms of C.
1.A%2BC=282
A=282-C
Now subsitute for A in equation 2.
2.5%2AA%2B3%2AC=1046
5%2A%28282-C%29%2B3%2AC=1046
1410-5C%2B3C=1046
-2C=-364
C=182
From above
A=282-C
A=282-182
A=100
A=100
C=182