Math for Life and Food Service

1
Math for Life and Food Service

• Chapter 9 Objectives
• Rates Unit Rates
• Price lists Requisitions
• Purchase Orders
• Invoices

2
Rates

• Rate 1st is the numerator 2nd is
  denominator.
• Proportions - Keep units across from one another.
• LEAVE AS IMPROPER FRACTION, but still simplify.

100 seats for 90 guests
3
Unit Rates

• Unit Rate denominator of 1.
• Unit Price money per item
• To write a rate as a UNIT rate or UNIT price,
  divide numerator by denominator.
• 52 bushels of fruit from 8 trees

4
Practice Problems

• 1) 352 calories in a 8-fl oz shake. Find the
  unit rate.
• 2) 3 apples for 0.87. Find the unit price.
• 3) Which brand is the better buy
• Ritz Crackers - 1.19 for 8 ounces
• Carrs Crackers - 1.59 for 12 ounces

• 352 / 8 44 cal. per fl. oz.
• 0.87 / 3 0.29 per apple
• 8 oz 0.149 / oz 12 oz 0.133 / oz.

5
Bobs Bakery hires 2 out of every 9 applicants.
If Bob received 117 applicants, how many did he
hire?
117 x 2 234 234 9 26 n 26 hired

• 2 hires n .
• 9 applied 117 applied
• 2 hires 10 hires
• 9 applied n

• 1
• 2

If Bob hired 10 new employees, how many applied?
9 x 10 90 90 2 45 n 45 applied
6
It takes Sam 30 minutes to prepare 4 meals.
Find how long it takes him to prepare 22 meals.
22 x 30 660 660 4 165 n 165
minutes (2 hrs 45 min.)

• 4 meals 22 meals
• 30 minutes n
• 4 meals n .
• .5 hours 4.5 hours

• 1
• 2

Find how many meals he can prepare in 4.5 hours.
4 x 4.5 18 18 .5 36 n 36 meals
7

• One pound of firmly-packed brown sugar yields
  
• cups. How many pounds of brown sugar
  will be required in a recipe that calls for 6
  cups of firmly brown sugar?

6 x 1 6 6
8
Price Lists - page 90
9
Requisitions - page 91

• Extension Price ? Quantity x Unit Price

10
Purchase Orders - page 92
11
Invoices - page 93

• CS - case
• SAK - sack
• BG - bag
• CNT - count
• BX - box

• CTN - carton
• EA - each
• PC - piece
• CT - crate

12
Invoices - page 93
13
Example 3 - page 94

• How much would one Potato Russet Idaho cost?

• Answer
• 1 potato would cost 0.128, which is 13.
• Found under the PORTION section (RU PRICE).
  Notice that the recipe unit is each.

14
Example 3 - page 94

• How much would 5 ounces of Onion Yellow Jumbo
  cost?

• Answer
• Price is listed as 0.013 per oz.
• 5 x 0.013 0.065 ? 7 for 5 oz. of onion.

15
Example 3 - page 94

• Find the weight of one chicken breast, raw,
  marinated.

• Answer
• In the SIZE column, it says 24 / 6oz.
• This means there are twenty-four 6 oz breasts in
  one case. Therefore the breast weighs 6 oz.

16
Example 3 - page 94

• How much does one ounce of chicken breast cost?
  One pound?

Answer Each breast cost 1.238 and weighs 6
ounces. 1.238 6 0.2063 ? 21 per ounce.
0.2063 x 16 3.3008 ? 3.30 per pound
17
Example 3 - page 94

• How many individual bags of shredded cabbage did
  you receive?

Answer In the SIZE column youll see 4 / 5 lb,
which means there are four 5 lb bags in each
case. 6 cases x 4 bags 24 bags of shredded
cabbage
18
Example 3 - page 94

• How many gallons of Open Pit Barbeque Sauce did
  you order?

Answer Each case contains 5 one-gallon
containers. Therefore, you ordered 5 gallons.
19
Example 3 - page 94

• How was the RU price found for the BBQ Sauce?

Answer Unit price number of units. 38.64 per
case 640 oz. per case 0.060
20
Example 3 - page 94

• What is the package yield for the lemons?

Answer One case yields 140 lemons.
21
Example 4 - page 96

• How many total pounds of sliced peaches did you
  receive?

• Answer
• There are two 5 lb cans in each case. You bought
  4 cases.
• 2 (cans) x 5 (pounds each) x 4 (cases) 40 lbs.

22
Example 4 - page 96

• How much do the peaches cost per pound?

• Answer
• 16.19 10 1.619 1.62 per pound

23
Example 4 - page 96

• How many 1-ounce servings of granulated sugar can
  you get from your order?

• Answer
• 100 pounds x 16 ounces 1600 ounces of sugar

24
Example 4 - page 96

• How much is butter per pound? Per ounce?

• Answer
• 48.78 36 lbs 1.355 1.36 per pound
• 1.355 16 oz 0.0847 0.08 per ounce

25
Example 4 - page 96

• What is the yield in ounces in 3 bags of GOLDMDL
  Flour?

• Answer
• 50 pounds x 16 ounces 800 ounces of flour/bag
• 3 bags of 800 ounces each 2400 ounces of flour

26
Example 4 - page 96

• What is the price per ounce for GOLDMDL FLOUR?

• Answer
• 10.67 50lbs 0.2134 per pound
• 0.2134 16 oz 0.013 per ounce

27
Example 4 - page 96

• If you eat 6 peanut butter cups, then figure the
  price per cup, how much would each peanut butter
  cup be worth?

• Answer
• 14.15 30 0.4717 0.47 for each cup

28
Example 4 - page 96

• The suggested list price of one peanut butter cup
  is 0.55. If you sold the entire box of peanut
  butter cups, how much profit would you make?

• Answer
• 36 cups x 0.55 - 19.80
• REVENUE COST PROFIT
• 19.80 14.15 5.65 profit on the whole box