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Decimal Word Problems Worksheet

Decimal Word Problems Worksheet
  • Page 1
 1.  
Solve - 3x - 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 24.4x + 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 + 1.50p = 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 - 48.2x = 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 6x - 6.2 = 4.2 - 6x.
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 3k + 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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