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Algebra word problem (10 Points)for the Best explaination on how to do this!? Tickets for a concert are $3 for children, $5 for students, and $8 for adults. There was a total of 500 tickets sold and the total money received from the sale of tickets was $2500. There were 150 fewer adult tickets than student tickets. Find the number of each type of ticket sold.

By: Guest
Date: Sat-Sep-17-2011-
Response
0

Answer 1

Let C, S & A represent the # of tickets for childern, students & adults

There was a total of 500 tickets sold

1) C + S + A = 500

C = 500 - S - A

There were 150 fewer adult tickets than student tickets.

2) A = S - 150

the total money received from the sale of tickets was $2500.

3) 3C + 5S + 8A = 2500

3(500 - S - A) + 5S + 8A = 2500 {substitute for C from equation1}

1500 - 3S - 3A + 5S + 8A = 2500

5A + 2S = 1000

5(S - 150) + 2S = 1000 {substitute for A from equation 2}

5S - 750 + 2S = 1000

7S = 1750

S = 250

2) A = 250 - 150

A = 100

1) C = 500 - 250 - 100

C = 500 - 350

C = 150

check

3(150) + 5(250) + 8(100) = 2500

450 + 1250 + 800 = 2500

2500 = 2500

[d] By: Guest
Date: Unknown---
Response
What is 1 + 100



Helpfulbox Now Offers Free POS Software

for restaurants, kiosk, and any other retails business completely free. It can be used as windows cashier system or as full blown POS. You will able to print to kitchen, display orders on the kitchen screen, manage inventory, employee, report, customer loyalty offers, employee management, delivery address track and much more, all for free.

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