• EOQ Review Questions and How to Solve

1) Unit Rate:  Sarah is making cakes.  Her original recipe calls for  14 cups of flour for 7 cakes.  How many cups of flour are needed to make 1 cake?

How to solve:              14 / 7= 2 cups of flour per cake.

2)  Scale Drawing:  Logan made a scale drawing of a rectangular room in his house.  The actual length of the room is 24 ft.  The scale used to make the drawing is 1/2 in = 2 ft.  What is the length, in inches, of the room on the drawing?

How to solve:               .5 in / 2 ft  = _in. / 24 ft   Cross multiply and divide by the number across from the unknown.
24 x .5= 12/2 = 6 inches

3) Percent off:  A sweater is priced at \$19.75.  If it is on sale for 20% off and there is 7% sales tax, how much will it cost after tax?

How to solve:
Find 20% of \$19.75.    19.75 x .20 = \$3.95 This is the amount that you will save.
You need to subtract this amount saved from the total    19.75-3.95 =\$15.80
Now that you have your new total, find 7% of \$15.80    15.80 x .07 = 1.106 = 1.11 ( round to the nearest cent)
Because this is sales tax you add this to your sale price    15.80 + 1.11 = \$ 16.91 is the cost of the sweater

4) Simple Interest:  You open an account with \$500.  You earn 4.5% simple annual interest.  What is your balance after 8 years?

How to solve:

KNOW THE FORMULA!!!  I=prt

I = .045 x 500 x 8 = \$180 This is what you earn in interest.
Add what you earned in interest to the amount you have in your account.     180 + 500 = \$680 is your balance after 8 years.