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4. marilyn is mailing gifts to her family. the weight of each gift is s…

Question

  1. marilyn is mailing gifts to her family. the weight of each gift is shown:
  • gift 1: $4\frac{1}{2}$ pounds
  • gift 2: $3\frac{2}{5}$ pounds
  • gift 3: 8.4 pounds

if marilyn mails all three gifts in one shipping box, what is the total weight of the package if the shipping box weighs 1.3 pounds?
a. 16.30 pounds
b. 16.87 pounds
c. 17.07 pounds
d. 17.60 pounds

  1. carmen buys two gifts that cost $15.50 each and three gifts that cost $8.25 each.

part a: what is carmens total bill before tax?
$\square$
part b: what is the total bill after an 8% tax rate is applied?
$\square$

Explanation:

Question 4 (Marilyn's Package Weight)

Step1: Convert mixed numbers to decimals

Gift 1: \( 4\frac{1}{2} = 4.5 \) pounds
Gift 2: \( 3\frac{2}{5} = 3.4 \) pounds

Step2: Sum the weights of the gifts

\( 4.5 + 3.4 + 8.4 = 16.3 \) pounds (gifts only)

Step3: Add the shipping box weight

\( 16.3 + 1.3 = 17.6 \)? Wait, no—wait, recalculate:
Wait, \( 4.5 + 3.4 = 7.9 \); \( 7.9 + 8.4 = 16.3 \); \( 16.3 + 1.3 = 17.6 \)? But option D is 17.60. Wait, did I miscalculate? Wait, no—wait, Gift 2: \( 3\frac{2}{5} = 3.4 \), Gift 1: 4.5, Gift 3: 8.4. Sum: 4.5 + 3.4 = 7.9; 7.9 + 8.4 = 16.3. Then add box 1.3: 16.3 + 1.3 = 17.6. So D is 17.60.

Step1: Calculate cost of two $15.50 gifts

\( 2 \times 15.50 = 31.00 \) dollars

Step2: Calculate cost of three $8.25 gifts

\( 3 \times 8.25 = 24.75 \) dollars

Step3: Sum the two amounts

\( 31.00 + 24.75 = 55.75 \) dollars

Step1: Calculate tax amount

Tax = \( 0.08 \times 55.75 = 4.46 \) dollars

Step2: Add tax to subtotal

\( 55.75 + 4.46 = 60.21 \) dollars

Answer:

D. 17.60 pounds

Question 5 (Carmen's Bill)
Part A: Total Before Tax