HELP!!!
I don't understand the question and need an asnwer fast!
Two different memberships are available at a discount department store. The Type A membership costs $200 and allows you to enter the store and take 75% off the marked price. The Type B membership costs $50 and allows you to enter the store and pay 62.5% of the marked price.
Type A membership: c = 0.25p + $200
Type B membership: c = 0.625p + $50
How many dollars worth of merchandise would a person have to buy for the cost of the Type A membership to equal the cost of the Type B membership?
Really? anyone???
When A = B,
0.25p + 200 = 0.625p + 50,
0.25p - 0.625p = 50 - 200,
-0.375p = -150,
P = $400.
The booster club sold tickets to a high school basketball game. They sold 700 student tickets and 500 general admission tickets, and raised a total of $5000. The combined cost of one student ticket and one general admission ticket was $8.
The equations and graph below can be used to determine how much each ticket type cost, where s represents the cost of one student ticket and g represents the cost of one general admission ticket.
Total ticket sales: 700s + 500g = $5000
Total cost for one student and one general admission ticket: s + g = 8
What was the price, in dollars, of a general admission ticket?
To find the answer to the question, we need to compare the costs of the Type A and Type B memberships. Let's set up an equation to represent this:
0.25p + $200 = 0.625p + $50
In this equation, p represents the amount of merchandise a person would have to buy. We want to solve for p.
To do this, we can start by subtracting 0.625p from both sides of the equation:
0.25p - 0.625p + $200 = $50
Next, combine like terms:
-0.375p + $200 = $50
Now, we can isolate the variable p. Start by subtracting $200 from both sides of the equation:
-0.375p = $50 - $200
Simplify:
-0.375p = -$150
Finally, divide both sides of the equation by -0.375:
p = -$150 / -0.375
When we divide -$150 by -0.375, we get:
p = $400
Therefore, a person would have to buy $400 worth of merchandise for the cost of the Type A membership to equal the cost of the Type B membership.