Question

name:valentine math: finding the better dealfind the unit price for each of the items needed for a valentine party. then identify which is the better deal. round your answers to the nearest cent and remember to show your work.#1 cupcakesa. a pack of 4 cupcakes for $15b. a pack of 10 cupcakes for $35unit price:unit price:which is the better deal?#2 heart bannersa. a pack of 2 banners for $15.50b. a pack of 4 banners for $26unit price:unit price:which is the better deal?#3 valentine dessert platesa. a pack of 8 plates for $1.94b. a pack of 32 plates for $11.03unit price:unit price:which is the better deal?#4 plastic cupsa. a pack of 60 cups for $7.49b. a pack of 100 cups for $12.39unit price:unit price:which is the better deal?

Explanation:

#1 Cupcakes

Step1: Calculate Unit Price A

Unit price = Total cost / Quantity.
$\frac{15}{4} = 3.75$

Step2: Calculate Unit Price B

Unit price = Total cost / Quantity.
$\frac{35}{10} = 3.50$

Step3: Compare unit prices

$3.50 < 3.75$, so B is better.

#2 Heart Banners

Step1: Calculate Unit Price A

Unit price = Total cost / Quantity.
$\frac{15.50}{2} = 7.75$

Step2: Calculate Unit Price B

Unit price = Total cost / Quantity.
$\frac{26}{4} = 6.50$

Step3: Compare unit prices

$6.50 < 7.75$, so B is better.

#3 Valentine Dessert Plates

Step1: Calculate Unit Price A

Unit price = Total cost / Quantity.
$\frac{1.94}{8} \approx 0.24$

Step2: Calculate Unit Price B

Unit price = Total cost / Quantity.
$\frac{11.03}{32} \approx 0.34$

Step3: Compare unit prices

$0.24 < 0.34$, so A is better.

#4 Plastic Cups

Step1: Calculate Unit Price A

Unit price = Total cost / Quantity.
$\frac{7.49}{60} \approx 0.12$

Step2: Calculate Unit Price B

Unit price = Total cost / Quantity.
$\frac{12.39}{100} = 0.12$

Step3: Compare unit prices

$0.12 = 0.12$, so both are equal.

Answer:

1. Cupcakes

• Unit Price A: $\$3.75$
• Unit Price B: $\$3.50$
• Better Deal: B (A pack of 10 cupcakes for $\$35$)

1. Heart Banners

• Unit Price A: $\$7.75$
• Unit Price B: $\$6.50$
• Better Deal: B (A pack of 4 banners for $\$26$)

1. Valentine Dessert Plates

• Unit Price A: $\$0.24$
• Unit Price B: $\$0.34$
• Better Deal: A (A pack of 8 plates for $\$1.94$)

1. Plastic Cups

• Unit Price A: $\$0.12$
• Unit Price B: $\$0.12$
• Better Deal: Both options offer the same unit price