Grocery Shopping

    

 

Mr. Smith realizes that there is more than just the price of food to think about, he also knows that his family needs a well balanced diet.

 

1)

a) Look at the Canada’s Food Guide to Healthy Eating and determine what percentage of total daily servings comes from each of the four food groups (use the median number of servings for each group.

http://www.hc-sc.gc.ca/hpfb-dgpsa/onpp-bppn/food_guide_rainbow_e.html

 

Solution:

  Food Group

Median number of servings

 Percentage of total servings

 Grain Products

   8.5

 38.6%

 Vegetables and Fruit

   7.5

  34.1%

 Milk Products

   3.5

  15.9%

 Meat and alternatives

    2.5

   11.4%

 

b) Make a pie chart representing the recommended daily amount of serving for the four food groups.

 

Solution:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


2)

a) Mr. Smith feels that his kids always make him buy too many unhealthy snacks. Find the percentage of money Mr. Smith spends on each of the four food groups and on other foods (like chips, pop, candy, and chocolate).

 

Here is his weekly grocery list:

Approximate costs of the items ($)

#Servings

4 L of Milk

3.28

16

1 kg of cheddar cheese

12.98

10

Two Dozen eggs

6.95

24

Two whole wheat breads

2.05

20

One white bread

1.55

10

1 kg of blueberries

3.98

10

1 L of Olive oil

5.95

other

400 g of butter

2.95

other

One whole chicken

5.98

8

2 kg of salmon

14.67

20

1.5 kg of roast beef

24.95

15

Two boxes of breakfast cereal (400g each)

5.35

26

2 kg of rice

3.1

20

4 bags of potato chips

9

other

Four 2L bottles of pop

6.89

other

2 L of orange juice

4.78

16

One head of lettuce

1.01

2

500 g of tomatoes

2.38

5

One deep fried apple pie

4.98

other

3 kg of potatoes

3.75

15

500 g of celery

1.27

5

500g of carrots

1.23

5

560g of chocolate bars

9.8

other

300g of candy

3.75

other

 

 

 

Solution:

  Food Group

Amount

 Percentage of total spending

 Grain Products

   12.05

 8.5%

 Vegetables and Fruit

   18.40

 12.9%

 Milk Products

   16.26

  11.4%

 Meat and alternatives

   52.55

   37.5%

Other foods

   43.32

  30.4%

 

b) For each food group, find the total amount of servings and percentage of the total servings that Mr. Smith buys.

Solution:

  Food Group

Total number of servings

 Percentage of total servings bought

 Grain Products

         76

 33.5%

 Vegetables and Fruit

         58

  25.5%

 Milk Products

         26

  11.4%

 Meat and alternatives

         67

  29.5%

Other foods

         

 

 

 

c) Compare the percentages obtained in parts a and b by making two pie charts. What would your suggestions be for a better balanced grocery list?

 

Solution:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


Suggestions may vary:

 

Grain products, vegetables and fruit are the cheapest per serving.  Milk and especially meat products cost more per serving.  Mr. Smith should buy less junk food, because he spends almost a third on food with very little nutritional value.

 

d) According to question 1, how many days of balanced nutrition can the shopping list provide for 1 person?

 

Solution:

76/8.5= 8.9

58/7.5= 7.7

26/3.5= 7.5

67/2.5= 26.8

 

7 days, because there are about 7 days worth of milk products

 

e) Mr. Smith knows that 2/3 of the time his family eats out or orders food in.  How many more servings and from which food groups does he need, to make the home meals balanced for his entire family for a week?

 

Solution:

6 (6 people in his family including his) times 1/3 (since they eat at home 1/3 of the time) times 7 days of servings = 14 days of servings

14*8.5= 119 servings of grain products                            

14*7.5=105 servings of vegetables/fruits

14*3.5=49 servings of milk products

14*2.5= 35 servings of meat products

Therefore he needs a total of

119-76 = 43 servings of grain products

105-58= 47 servings of vegetables/fruits

49-26= 23 servings of milk products

 

After thinking about his grocery list, Mr. Smith decides to buy more food that will help him to create healthier meal choices.

 

3)

a) Mr. Smith wants to replace candy with strawberries on his weekly grocery list.  If he decides to buy 2 kg of strawberries a week, make a bar graph depicting the amount that he will pay over a year for the possible choices.

There are three choices: 

Choice 1: $4.28/kg

Choice 2: $2.18/200g box

Choice 3: $5.98 /4lb box

 

Solution:

2kg a week times 52 weeks = 104 kg a year

 

Choice 1 would cost 4.28*104 = $445.12

Choice 2 would cost 2.18*5*104 = $1133.60

Choice 3 we need to convert pounds to kilograms. 4lb/2.2= 1.82 kg

So the price is $5.98/1.82kg. We can now find the price                                            (104kg/1.82kg) times $5.98 = $341.71 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


b) Which choice is the best, and how much money will he save over a year with that choice?

 

Solution:

Choice 3 is obviously the best; he will save $104.41 over the next best choice.

 

c) Mr. Smith decided that he is going to buy twice as much pasta (by weight) than the mass of oranges he was buying.  If he buys $3 dollars worth of oranges, and oranges cost $0.99 a pound, how much pasta is he buying?

 

Solution:

He is buying 6 pounds of pasta

 

Mr. Smith is done shopping and is now standing in line.

 

4)

a) He estimates that he will need to buy 11 plastic bags to put his groceries in.  Each plastic bag costs 4 cents. If he goes shopping every week, how much money would he save over a year if he reused his bags instead of buying new ones every time?

 

Solution:

11bags*52weeks in a year*4cents = $22.88

He would save $22.88 and help the environment

 

b) Mr. Smith pays $17.57 tax for his groceries. If the tax for his goods is 7%, what is the total amount he paid?

 

Solution:

If we multiply the amount his groceries cost by 0.07 we must get 17.57. That means we can divide 17.57 by 0.07 to obtain the amount groceries cost without taxes.  17.57/0.07 = $251

Therefore, the total amount he paid was $251+$17.57= $268.57

 

After Mr. Smith got the receipt, he placed all the groceries in a storage locker and went to join up with the rest of his family.