SOLUTION: Tickets for adults cost 2.00 and tickets for kids cost 1.00. If 175 people attended and the total amount of money made was 255, how many students attended the game
Algebra.Com
Question 572247: Tickets for adults cost 2.00 and tickets for kids cost 1.00. If 175 people attended and the total amount of money made was 255, how many students attended the game
Answer by mathsmiles(68) (Show Source): You can put this solution on YOUR website!
Adult tickets are 2.00. Let's use A to mean the number of adult tickets
Kids tickets are 1.00. Let's use K to mean the number of kids tickets.
A + K = 175 since the total number of people was 175
The amount of money is $2 times the number of adults plus $1 times the number of kids, so
2A + 1K = 255
Now we have 2 equations:
2A + K = 255
A + K = 175
Using elimination method, subtract the above two equations vertically giving
2A + K = 255
-A - K = -175
-----------------
A = 80
There were 80 adult tickets.
If the total of adult and kids tickets is 175, this leave 95 kids tickets.
One final check:
2A + K = 255
2(80) + 95 = 255
160 + 95 = 255
255 = 255 Correct!
RELATED QUESTIONS
590 attended a play. Admission $2.00 for adults and $1.00 for kids. $790 of tickets were... (answered by ikleyn)
If 125 people attend a concert and tickets for adults cost $4.00 while tickets for... (answered by greenestamps)
Story Problem:
There are a total of 130 people at a concert of kids and adults. The... (answered by rfer)
If 129 people attend a concert and tickets for adults cost $3.5 while tickets for... (answered by ikleyn)
I'm not entirely sure where this fits, so I'll put it here. Here's my problem:
Tickets... (answered by jorel555,Boreal)
I need help with these two word problems. I can not figure them out.
1. Adult tickets (answered by piyu)
A total of 720 people attended the school basketball game. Adult tickets cost $2.50 each... (answered by checkley71)
If 129 people attend a concert and tickets for adults cost $2.25 while tickets for... (answered by ikleyn,josgarithmetic,math_tutor2020)
There were 209 tickets purchased for a major league baseball game. The general admission... (answered by Alan3354)