# WORD PROBLEMS USING DISTRIBUTIVE PROPERTY WORKSHEET

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

## Word Problems Using Distributive Property Worksheet

Problem 1 :

A family had their bill at a restaurant reduced by \$7.50 because of a special discount. They left a tip of \$8.90, which was 20% of the reduced amount. How much was their bill before the discount ?

Problem 2 :

The members of a club spend 8% of their budget on entertainment. Their total budget for this year is \$2,000 more than last year, and this year they plan to spend \$3,840 on entertainment. What was their total budget last year ?

## Word Problems Using Distributive Property Worksheet - Solutions

Problem 1 :

A family had their bill at a restaurant reduced by \$7.50 because of a special discount. They left a tip of \$8.90, which was 20% of the reduced amount. How much was their bill before the discount ?

Solution :

Step 1 :

Let 'x' be the bill amount before the discount.

Then, amount to be paid after the discount \$7.50 is

=  x - 7.5

So, the reduced amount is (x - 7.5).

Step 2 :

20% of the reduced amount is the tip \$8.90.

So, we have

0.2(x - 7.5)  =  8.9

Use distributive property.

0.2x - 1.5  =  8.9

Step 3 :

Add 1.5 to both sides.

0.2x  =  10.4

Divide each side by 0.2

x  =  52

So, the family’s bill before the discount was \$52.00.

Justify and Evaluate :

\$52.00 - \$7.50  =  \$44.50

0.2(\$44.50)  =  \$8.90.

This is the amount given by the family as a tip. So, the answer is reasonable.

Problem 2 :

The members of a club spend 8% of their budget on entertainment. Their total budget for this year is \$2,000 more than last year, and this year they plan to spend \$3,840 on entertainment. What was their total budget last year ?

Solution :

Step 1 :

Let 'x' be the total budget last year.

Then, total budget for this year is

=  x + 2000

Step 2 :

This year, they plan to spend \$3,840 on entertainment.

Usually, they spend 8% of their budget on entertainment.

So, we have

8% of the total budget for this year  =  3,840

0.08(x + 2000)  =  3840

Use distributive property.

0.08x + 160  =  3840

Step 3 :

Subtract 160 from each side.

0.08x  =  3680

Divide each side by 0.08

x  =  46000

So, the total budget for the last year was \$46,000.

Justify and Evaluate :

\$46,000 + \$2,000  =  \$48,000

0.08(\$48,000)  =  \$3,840

This is the amount planned on entertainment for this year. So, the answer is reasonable.

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