Write a Real World Problem That Can Be Solved Using the Distributive Property

SOLVING A REAL WORLD PROBLEM USING THE DISTRIBUTIVE PROPERTY

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

0.2x - 1.5  =  8.9

Step 3 :

Use inverse operations to solve the equation.

Add 1.5 to both sides.

0.2x  =  10.4

Since we have one digit after the decimal on both sides, multiply both sides by 10 to avoid decimal.

10(0.2x)  =  10(10.4)

2x  =  104

Divide both sides by 2.

2x / 2  =  104 / 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

0.08x + 160  =  3840

Step 3 :

Use inverse operations to solve the equation.

Subtract 160 from each side.

0.08x  =  3680

Since we have two digits after the decimal in 0.08x, multiply both sides by 100 to avoid decimal.

100(0.08x)  =  100(3680)

8x  =  368000

Divide each side by 8.

8x / 8  =  368000 / 8

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.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

v4formath@gmail.com

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6

Write a Real World Problem That Can Be Solved Using the Distributive Property

Source: https://www.onlinemath4all.com/solving-a-real-world-problem-using-the-distributive-property.html

Bagikan Artikel ini