﻿ Equations with Decimals Worksheet - Page 3 | Problems & Solutions

# Equations with Decimals Worksheet - Page 3

Equations with Decimals Worksheet
• Page 3
21.
Negative twenty-two hundredths times a number $x$ equals the opposite of eighty-eight and eight tenths. Find the value of $x$.
 a. 4.0363 b. 403.63 c. 430.63 d. 40.363

#### Solution:

Negative twenty-two hundredths times a number x = -0.22x.

The opposite of eighty-eight and eight tenths = -88.8.

-0.22x = -88.8
[Original equation.]

x = -88.8-0.22
[Divide each side by -0.22.]

x = 403.63
[Simplify.]

So, the value of x is 403.63.

22.
The sum of the opposite of twelve hundredths times a number $x$ and thirteen hundredths equals fifteen hundredths. Solve for $x$.
 a. -0.166 b. 0.166 c. -0.0166 d. 0.0166

#### Solution:

The opposite of twelve hundredths times a number x = -0.12x.

The sum of the opposite of twelve hundredths times a number x and thirteen hundredths is -0.12x + 0.13

Fifteen hundredths = 0.15

-0.12x + 0.13 = 0.15
[Write an equation.]

-0.12x = 0.02
[Subtract 0.13 from each side.]

x = 0.02-0.12
[Divide each side by -0.12]

x = -0.166
[Simplify.]

23.
Ursula is paid $8.75 for an hour and$1.25 for every patient she attends, in a hospital. Solve the equation 8.75 + 1.25$p$ = 13.75 to find out the number of patients she needs to attend to earn $13.75 in an hour.  a. 5 b. 6 c. 3 d. 4 #### Solution: Let p be the number of patients Ursula has to attend to earn$13.75 in an hour.

8.75 + 1.25p = 13.75
[Original equation.]

1.25p = 5
[Subtract 8.75 from each side.]

p = 51.25
[Divide each side by 1.25.]

p = 4
[Simplify.]

Ursula has to attend 4 patients in order to earn $13.75 in an hour. Correct answer : (4) 24. Lindsay wants to buy a bouquet of daisies and tulips for$27.5. A bunch of daisies costs $15 and that of tulips costs$2.5 each. Solve the equation 2.5$t$ + 15 = 27.5 to find $t$, the number of tulips Lindsay can buy.
 a. 6 b. 4 c. 5 d. 7

#### Solution:

2.5t + 15 = 27.5
[Original equation.]

2.5t = 12.5
[Subtract 15 from each side.]

t = 12.52.5
[Divide each side by 2.5]

t = 5
[Simplify.]