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## 6th Grade Math Homework

### Solved Examples

**Question 1:**By selling a house for 72,000 dollars, a person made a profit of 20 %. What was the cost price of the house.

**Solution:**

**Step 1:**

Let the cost price of house (C.P.) = x dollars

Selling price of house (S.P.) = 72,000 dollars

Profit % = 20 %

**Step 2:**

S.P. = C.P. + Profit

=> 72000 = x + $\frac{20}{100}$ x

=> $\frac{120x}{100}$ = 72000

**Step 3:**

Solve for x,

=> x = $\frac{72000 * 100}{120}$

=> x = 60,000

Hence cost price of house is 60,000 dollars.

**answer**

**Question 2:**Simplify 345 ÷ 3 × 3.5

**Solution:**

Given, 345 ÷ 3 × 3.5

Divide 345 by 3

=> 345 ÷ 3 = 115

Now multiply 115 by 3.5

1 1 5

x 3 . 5

--------------

5 7 5

3 4 5 x

---------------

4 0 2 . 5

---------------

115 * 3.5 = 402 . 5

=> 345 ÷ 3 × 3.5 = 402 .5.

Step 1:Step 1:

Divide 345 by 3

=> 345 ÷ 3 = 115

Step 2:Step 2:

Now multiply 115 by 3.5

1 1 5

x 3 . 5

--------------

5 7 5

3 4 5 x

---------------

4 0 2 . 5

---------------

115 * 3.5 = 402 . 5

=> 345 ÷ 3 × 3.5 = 402 .5.

**answer****Question 3:**Solve for x, 960 = 2(x + 16 + x)

**Solution:**

**Step 1:**

Given 960 = 2(x + 16 + x)

=> 960 = 2(2x + 16)

=> 960 = 2 * 2x + 2 * 16

=> 960 = 4x + 32

**Step 2:**

Subtract 32 from both sides

=> 960 - 32 = 4x + 32 - 32

=> 928 = 4x

**Step 3:**

Divide each side by 4

=> $\frac{928}{4} = \frac{4x}{4}$

=> 232 = x

or x = 232.

**answer**