Question

(Answer all questions) Use the graph to answer the questions below.

1) Work the following financial transactions.

Your station charges $6.50 for a lubrication job. As a promotion, you sell six coupons for lubrication jobs for $32.50. What percentage discount are you offering for customers who purchase the 6-coupon lube book?

Discount (to the nearest tenth) = ___%

2) You estimate that it requires fifty minutes to serve 85 customers through a cafeteria line. If your normal lunch crowd averages 200 customers, about how much time will it take for the lunch crowd to go through the cafeteria line (assuming a constant flow of customers)?

To the nearest minute ______ minutes

3) Your dining room facility seats 150 patrons. The present eating area is 60 ft. by 50 ft. You desire to expand it by 20%. How much should the whole area contain in square feet after it is expanded?

____ sq. ft.

Answer 1

Problem One

Your base number is whatever 6 lube jobs would bring in. Then you have to get to 32.50 to calculate the discount. You are selling 6 tickets for 6.50

Total = 6.50 * 6 = 39.00 dollars.

This is a discount problem which means that you have to multiply by a percentage to get the number down to 32.50

39*(x/100) = 32.50 Multiply by 100

39 * x = 3250 Divide by 39

x = 3250 / 39 = 83.3%

But what is that 83.3%? It is not the discount. It is the% of 39 that 32.5 represents. So we have to take 83.3% from 100% to get the discount.

100% = 83.3 = 16.7% That is the discounted amount

Proof

39*16.7/100 = 6.51

If you take 6.51 away from 39, you ought to come pretty close to 32.50

39 - 6.50 = 32.50 Just as we predicted.

Problem Two

Set up a Proportion

85 customers / 50 minutes = 200 / x Cross multiply

85x = 50 * 200

85x = 10000 Divide by 85

x = 10000 / 85 = 118 minutes which is just about 2 hours. Somebody is going to be awfully hungry by the time you are done.

Problem Three.

Present area (assuming a shape whose area is 60*50) = 3000 square feet.

You want to have an area that is 20% larger. The base number here is 3000 square feet.

To get 20% of the base number you just take 20% of the 3000

Increase = 20/100 * 3000 = 60000/100 = 600

That's not what is asked for. They want the new total area.

3000 + 600 = 3600 <<< Answer