SOLUTION: Admission to a school play costs $12.50. Form an inequality and solve it to find the maximum number of ticket Jun Wei can buy with $250.

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Question 1120907: Admission to a school play costs $12.50. Form an inequality and solve it to find the maximum number of ticket Jun Wei can buy with $250.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the number of tickets Jun Wei purchases.
The value of x is some positive whole number.

1 ticket costs 12.50*1 = $12.50
2 tickets cost 12.50*2 = $25
3 tickets cost 12.50*3 = $37.50
4 tickets cost 12.50*4 = $50
and so on...

The general pattern is
x tickets cost 12.50*x dollars

The expression 12.50*x represents the total amount of dollars Jun Wei spends. We want this total to be $250 or smaller.

Total+%3C=+250

12.50%2Ax+%3C=+250

12.50%2Ax%2F12.50+%3C=+250%2F12.50 Divide both sides by 12.50 to undo the multiplication.

x+%3C=+20

The maximum number of tickets Jun Wei can buy is 20 tickets.

Note how 12.50*20 = 250 which is the max amount that can be spent. That helps confirm the answer.