Applied Math- Scale

Question

Problem to solve:

Saara is hosting a BBQ. She requires the following.

20 hamburgers with buns

24 hot dogs with buns

6 lbs potato salad

60 bottles of water

6 watermelons

8 L ice cream

She only has time to shop at one store.

Each of the four local stores has the following offers

Fantastic Foods

Box 8 hamburgers $7.99

Package 12 hot dogs $3.69

Bag 12 hamburger buns $3.29

Bag 12 hot dog buns $3.29

Container 454 g Potato Salad $2.99

Pack 12 water bottles $3.00

Single watermelon $4.79

1.8 L container ice cream $3.99

Food Plus

Box 24 hamburgers $28.99

Package 10 hot dogs $5.89

Bag 12 hamburger buns $2.79

Bag 12 hot dog buns $2.79

Container 2 lb Potato Salad $5.99

Pack 12 water bottles $3.69

Single watermelon $4.99

4 L container ice cream $5.99

Grocery World

Box 6 hamburgers $7.89

Package 12 hot dogs $8.69

Bag 12 hamburger buns $3.09

Bag 12 hot dog buns $3.09

Container 1.5 lb Potato Salad $6.19

Pack 30 water bottles $5.99

Single watermelon $4.99

4 L container ice cream $5.99

Food Deals

Box 10 hamburgers $8.99

Package 8 hot dogs $4.99

Bag 12 hamburger buns $2.99

Bag 12 hot dog buns $2.99

Container 0.5 lb Potato Salad $1.99

Pack 24 water bottles $3.29

Single watermelon $4.28

2 L container ice cream $4.09

Find the cost of shopping at each of the four stores. She cannot buy partial units. In other words, she has to buy 2 or 3 boxes of hamburgers, not 2.5.

Where should Saara shop in order to get the best deal on everything she needs? 

State two other factors that may influence Saara other than the overall price.

1. 1 mark for the correct number of items at each store
2. 1 mark for correctly finding the overall price at each store
3. 1 mark for correctly stating which store has the best price
4. 1 mark for giving two reasonable factors that may influence Saara's decision

Answer 1

Fantastic Foods=$134.13

Box 8 hamburgers $7.99x4=$31.96

Package 12 hot dogs $3.69x2=$7.38

Bag 12 hamburger buns $3.29x2=$6.58

Bag 12 hot dog buns $3.29x2=$6.58

Container 454 g Potato Salad $2.99x6=$17.94

Pack 12 water bottles $3.00x5=$15.00

Single watermelon $4.79x6=$28.74

1.8 L container ice cream $3.99x5=$19.95

Food Plus=$136.16

Box 24 hamburgers $28.99

Package 10 hot dogs $5.89x3=$17.67

Bag 12 hamburger buns $2.79x2=$5.58

Bag 12 hot dog buns $2.79x2=$5.58

Container 2 lb Potato Salad $5.99x3=$17.97

Pack 12 water bottles $3.69x5=$18.45

Single watermelon $4.99x6=$29.94

4 L container ice cream $5.99x2=$11.98

Grocery World=$139.96

Box 6 hamburgers $7.89x4=$31.56

Package 12 hot dogs $8.69x2=$17.38

Bag 12 hamburger buns $3.09x2=$6.18

Bag 12 hot dog buns $3.09x2=$6.18

Container 1.5 lb Potato Salad $6.19x4=$24.76

Pack 30 water bottles $5.99x2=$11.98

Single watermelon $4.99x6=$29.94

4 L container ice cream $5.99x2=$11.98

Food Deals=$116.61

Box 10 hamburgers $8.99x2=$17.98

Package 8 hot dogs $4.99x3=$14.97

Bag 12 hamburger buns $2.99x2=$5.98

Bag 12 hot dog buns $2.99x2=$5.98

Container 0.5 lb Potato Salad $1.99x12=$23.88

Pack 24 water bottles $3.29x3=$9.87

Single watermelon $4.28x6=$25.68

2 L container ice cream $4.09x3=$12.27

Food Deals has the best price by almost $20.00, but Saara's decision could also be based on how much extra food she wants to have to purchase (and possibly throw away) as well as how many containers she needs to purchase. For example, is she going to want to have to purchase 12 half-pound tubs of potato salad? She would also have 12 extra bottles of water to deal with if she purchases them in cases of 24.