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# Decimal Word Problems Worksheet

Decimal Word Problems Worksheet
• Page 1
1.
Solve - 3$x$ - 5 = 11 and round the value of $x$ to the nearest hundredths.
 a. 5.33 b. 4.33 c. - 4.33 d. - 5.33

#### Solution:

- 3x - 5 = 11
[Original equation.]

- 3x = 16
[Add 5 to both sides.]

x = - 163
[Divide each side by - 3.]

x = - 5.3333
[Simplify.]

x - 5.33
[Round to the nearest hundredth.]

To the nearest hundredths value of x is rounded to - 5.33.

Correct answer : (4)
2.
Mike, Jimmy, Brian and Jake plan to share an apartment in Milan. How much should each of them pay every month, if the rent of the apartment is $823.32 per month?  a.$203.83 b. $209.33 c.$205.83 d. $207.83 #### Solution: Let x be the share of each of them. 4x = 823.32 [Original equation.] x = 823.324 [Divide each side by 4.] x = 205.83 [Simplify.] Each of them should pay$205.83 for the apartment.

Correct answer : (3)
3.
Find the value of $x$, if seven-hundredths times a number $x$ equals thirteen and five tenths.
 a. 192.85 b. 19.85 c. 190.85 d. 19.28

#### Solution:

Seven-hundredths times a number x is 0.07x.

Thirteen and five tenths is 13.5.

0.07x = 13.5
[Original equation.]

x = 13.50.07
[Divide each side by 0.07]

x = 192.85
[Simplify.]

The value of x is 192.85

Correct answer : (1)
4.
Solve 24.4$x$ + 17.9 = 58.1 and round the value of $x$ to the nearest tenth.
 a. 1.5 b. 1.8 c. 1.7 d. 1.6

#### Solution:

24.4x + 17.9 = 58.1
[Original equation.]

24.4x = 40.2
[Subtract 17.9 from each side.]

x = 40.224.4
[Divide each side by 24.4.]

x = 1.647
[Simplify.]

x » 1.6
[Rounded to the nearest tenth.]

Correct answer : (4)
5.
A 26-storied building was rented to 26 different software companies for a total monthly rent of $24,857. If each company pays the same rent, then find the rent paid by each company.  a.$954.04 b. $956.04 c.$957.04 d. $955.04 #### Solution: Let x be the rent paid by each company. 26x = 24857 [Write an equation.] x = 2485726 [Divide each side by 26.] x = 956.0384 [Simplify.] x » 956.04 [Round to nearest cent.] So, the rent paid by each company is$956.04.

Correct answer : (2)
6.
Carol is paid $12 an hour and$1.50 extra for every patient she attends. Solve the equation 12 + 1.50$p$ = 24, to find the number of patients she needs to attend to earn $24 an hour.  a. 11 b. 7 c. 8 d. 9 #### Solution: Let p be the number of patients Carol has to attend to earn$24 in an hour.

12 + 1.50p = 24
[Original equation.]

1.50p = 12
[Subtract 12 from each side.]

p = 121.50
[Divide each side by 1.50.]

p = 8
[Simplify.]

Carol has to attend 8 patients in order to earn $24 in an hour. Correct answer : (3) 7. Solve for $x$, if 159.06 - 48.2$x$ = 0.  a. 5.8 b. 2.3 c. 4.8 d. 3.3 #### Solution: 159.06 - 48.2x = 0 [Original equation.] 159.06 = 48.2x [Add 48.2x to both sides.] x = 159.0648.2 [Divide both sides with 48.2.] = 3.3 Correct answer : (4) 8. Find the value of $x$, if 6$x$ - 6.2 = 4.2 - 6$x$.  a. 3.36 b. 6.06 c. 4.06 d. 0.86 #### Solution: 6x - 6.2 = 4.2 - 6x [Original equation.] 6x + 6x = 4.2 + 6.2 [Combine like terms.] 12x = 10.4 [Add.] x = 10.412 [Divide each side by 12.] x = 0.86 Correct answer : (4) 9. What is the value of $k$, if 3$k$ + 38.7 = 103.2?  a. 23.1 b. 21.5 c. 23.3 d. 22.9 #### Solution: 3k + 38.7 = 103.2 [Original equation.] 3k = 103.2 - 38.7 [Subtract 38.7 from both sides.] 3k = 64.5 k = 64.53 [Divide by 3 on both sides.] k = 21.5 Correct answer : (2) 10. A car rental agency charges$40.44 for 8 hours and $6.34 for each extra hour. Josh rents a car and pays$65.80. Find the total number of hours for which he was charged.
 a. 13 b. 14 c. 11 d. 12

#### Solution:

Let n be the number of extra hours.

Total amount = Amount taken for 8 hours + (Amount taken for each extra hour × Number of extra hours).

= 40.44 + (6.34 × n) = 65.80
[Substitute.]

= (6.34 × n) = 65.80 - 40.44
[Subtract 40.44 from both sides.]

= (6.34 × n) = 25.36

= n = 25.366.34 = 4
[Divide both sides with 6.34.]

Total number of hours Josh took the car for rent = 8 + 4 = 12.

Correct answer : (4)

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