Question

This question has two parts. First, answer Part A. Then, answer Part B.

Part A
Nolan found two stores that sell filled party favor bags. The table shows his options.



Store Number of Bags Cost ($)
Party R Us 8 12
Celebrations 12 21


Which store has the lesser cost per filled bag? Justify your answer.

Multiple choice question.
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A)
Party R Us; It costs $3 to fill 2 bags.

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B)
Party R Us; It costs $1.75 to fill 1 bag.

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C)
Celebrations; To fill 1 bag, it costs $1.75.
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D)
Celebrations; The price for every 2 bags is $3.50.
Part B
Nolan found two stores that sell filled party favor bags. The table shows his options.



Store Number of Bags Cost ($)
Party R Us 8 12
Celebrations 12 21


How much less is the cost at the store with with the lesser cost per filled bag

Answer 1

Part A:
To determine which store has the lesser cost per filled bag, we need to calculate the cost per bag for each store.

For Party R Us:
Cost per bag = Total cost / Number of bags = $12 / 8 = $1.50 per bag.

For Celebrations:
Cost per bag = Total cost / Number of bags = $21 / 12 = $1.75 per bag.

So, Party R Us has the lesser cost per filled bag, and the correct answer is B) Party R Us; It costs $1.75 to fill 1 bag.

Part B:
To find out how much less the cost is at Party R Us compared to Celebrations, we need to calculate the difference in cost per bag.

Cost per bag at Party R Us = $1.50
Cost per bag at Celebrations = $1.75

Difference = Cost per bag at Celebrations - Cost per bag at Party R Us
Difference = $1.75 - $1.50 = $0.25

So, the cost at Party R Us is $0.25 less per bag compared to Celebrations.

Answer 2

Party R Us has the lesser cost per filled bag at $1.50 per bag compared to Celebrations at $1.75 per bag, making it the more cost-effective choice by $0.25 per bag.

Step-by-step explanation:

The student is comparing the cost per filled bag at two different stores, Party R Us and Celebrations. To find the cost per bag for Party R Us, divide the total cost by the number of bags: $12 ÷ 8 bags = $1.50 per bag. For Celebrations, do the same: $21 ÷ 12 bags = $1.75 per bag. Since $1.50 is less than $1.75, Party R Us has the lesser cost per filled bag.

For Part B, the difference in cost per bag between the two stores is $0.25 ($1.75 - $1.50). Since Nolan is comparing the cost per bag, not the total cost, this is the amount that Party R Us is cheaper per bag than Celebrations.