# DECIMALS OPERATIONS WORD PROBLEMS

Problem 1 :

Ellen wanted to buy the following items:

• A DVD player for \$49.95
• A DVD holder for \$19.95
• Personal stereo for \$21.95

Does Ellen have enough money to buy all three items if she has \$90.

Solution :

Cost of a DVD player = \$49.95

Cost of DVD holder = \$19.95

Cost of personal stereo = \$21.95

Total = 49.95 + 19.95 + 21.95

= 91.85

Amount that he has already = \$90.

So, he doesn't have enough money.

Problem 2 :

Melissa purchased \$39.46 in groceries at a store. The cashier gave her \$1.46 in change from a \$50 bill. How much change should the cashier have given Melissa?

Solution :

Amount spent for groceries = \$39.46

The cashier gave = 1.46

Amount given by Mellisa = 50

Calculating remaining amount :

So, the amount she should get is \$9.08

Problem 3 :

3) If a 10-foot piece of electrical tape has five pieces that are each 1.25 feet cut from it, what is the new length of the tape?

Solution :

Length of the electric tap before it cut = 10 foot

Number of pieces to be cut = 5

Length of each piece = 1.25 feet

New length of the tape = 10 - 5(1.25)

= 10 - 6.25

= 3.75

So, the new length of tape = 3.75

Problem 4 :

Patricia has \$425.82 in her checking account. How much does she have in her account after she makes a deposit of \$120.75 and a withdrawal of \$185.90?

Solution :

Amount she has in her checking account = \$425.82

Her deposit = \$120.75

Withdrawl amount = 185.90

Problem 5 :

The mass of a jar of sugar is 1.9 kg. What is the total mass of 13 jars of sugar?

Solution :

Mass of one jar = 1.9 kg

Mass of all 13 jars = 13 (1.9)

Multiplying 13 and 19, we get

13 x 19 = 247

13 x 1.9 = 24.7

So, the mass in all 13 jars is 24.7 kg

Problem 6 :

Carpeting costs \$9.99 a yard. If Jan buys 17.4 yards, how much will it cost her? (Round your answer to the nearest hundredth)

Solution :

Cost of carpeting = \$9.99

Quantity of carpet he is purchasing = 17.4 yards

Total cost spent = 9.99 x 17.4

Multiplying 999 and 174, we get

9.99 x 17.4 = 173.826

So, the required cost is \$173.83.

Problem 7 :

If your weekly salary is \$1,015.00, how much do you have left each week after you pay for the following?

• Rent - \$443.50
• Cable TV -\$23. 99
• Electricity - \$45.62
• Groceries - \$124.87

Solution :

Amount spent for rent, cable tv, electricity and groceries

= 443.50 + 23.99 + 45.62 + 124.87

Amount spent = 637.98

Remaining amount = 1050 - 637.98

Amount left over is \$412.02.

Problem 8 :

Brad studied a total of 24.4 hours over a period of four days. On average, how many hours did Brad study each day?

Solution :

Number of hours he is spending = 24.4 hours

Number of days he is studying = 4 days

Number of hours on average = 24.4 / 4

Number of hours he is spending on average = 6.1 hours.

Problem 9 :

Find the perimeter of the rectangle below.

Solution :

Perimeter = 8.75 + 2.4 + 8.75 + 2.4

= 2(8.75) + 2 (2.4)

= 17.5 + 4.8

= 22.3 inches

So, the required perimeter of the rectangle is 22.3 inches.

Problem 10 :

Samantha paid \$26.25 for three books that all cost the same amount. What was the cost per book?

Solution :

Cost of all three books = \$26.25

Number of books she is purchasing = 3

Cost of one book = 26.25 / 3

So, the cost per book is \$8.75

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