**Solving Percent Equations Worksheet : **

Worksheet given in this section will be much useful for the students who would like to practice solving problems using percent equations.

Before look at the worksheet, if you would like to know the basic stuff on percentage,

**Problem 1 : **

Solve for x :

20% of x is 16

**Problem 2 : **

Solve for x :

x% of 18x is 0.9

**Problem 3 : **

Solve for x :

15% of 50 is x

**Problem 4 : **

If 5 more than 10 percent of x is 85, then find the value of x.

**Problem 5 : **

If 10 less than 8 percent of x is 26, then find the value of x.

**Problem 6 : **

Sum of x and y is 150. Sum of 5 percent of x and 10 percent of y is 11. Find the values of x and y

**Problem 1 : **

Solve for x :

20% of x is 16

**Solution : **

20% of x is 16

0.2x = 16

Divide each side by 0.2

x = 80

So, the value of x is 80.

**Problem 2 : **

Solve for x :

x% of 18x is 0.9

**Solution : **

x% of 18 is 0.9

0.01x ⋅ 18 = 0.9

0.18x = 0.9

Divide each side by 0.18

x = 5

So, the value of x is 5.

**Problem 3 : **

Solve for x :

15% of 50 is x

**Solution : **

15% of 50 is x

0.15 ⋅ 50 = x

7.5 = x

So, the value of x is 7.5

**Problem 4 : **

If 5 more than 10 percent of x is 85, then find the value of x.

**Solution : **

5 more than 10 percent of x is 85

10% of x + 5 = 85

0.1x + 5 = 85

Subtract 5 from each side.

0.1x = 80

Divide each side by 0.1

x = 800

So, the value of x is 800.

**Problem 5 : **

If 10 less than 8 percent of x is 26, then find the value of x.

**Solution : **

10 less than 8 percent of x is 26

8% of x - 10 = 26

0.08x - 10 = 26

Add 10 to each side.

0.08x = 36

Divide each side by 0.08

x = 450

So, the value of x is 450.

**Problem 6 : **

Sum of x and y is 150. Sum of 5 percent of x and 10 percent of y is 11. Find the values of x and y

**Solution : **

**Given : **Sum of x and y is 150.

Then, we have

x + y = 150

Subtract y from each side.

x = 150 - y -----(1)

**Given : **Sum of 5 percent of x and 10 percent of y is 11.

Then, we have

5% of x + 10% of y = 11

0.05x + 0.1y = 11

To get rid of the decimals, multiply each side by 100.

5x + 10y = 1100

Divide each side by 5.

x + 2y = 220

From (1), substitute (150 - y) for x.

150 - y + 2y = 220

150 + y = 220

Subtract 150 from each side.

y = 70

Substitute 70 for y in (1).

(1)-----> x = 150 - 70

x = 80

So, the values of x and y are 80 and 70 respectively.

After having gone through the stuff given above, we hope that the students would have understood, how to solve problems using percent equations.

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