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# Consumer Mathematics

### Fractions Investment Ratio Words

A. One-Third of a number is 5 less than half of the same number. What is the number? B. The sum of a number and its reciprocal is 10/3. What is the number? C. An investment of \$1500 paid interest of \$45 during a certain period. How mush interest would and investment of \$2000 invested at the same rate for the same length o

### Business Math : Probability, Binomial Distributions, Decision-Making, Payoff Tables and Risk Management

1. Super Cola sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men, only 30% of the diet soda is purchased by men. If a woman purchases Super Cola, what is the probability that it is a diet soda? 2. A process follows the binomial distribution with n = 8 and p = .3. Fin

### Fractions Word Problems

Q1. Marie is entitled to one-sixth of an estate because of one relationship to the deceased and one-thirty-second of the estate because of another relationship to the deceased. What is the total portion of the estate that she will receive? Q2. Helen has 1/5 of her portfolio in the U.S. stocks, 1/8 of her portion in European s

### Ratios and Proportions : Dilution of Solution

Chemist has 400ml of solution of which 80% is alcohol. How much water needs to be added to dilute solution to 50% alcohol? Please provide step by step breakdown so I can understand how this is solved.

### Examples of using Operations with Fractions

Dividing of fractions with rational exponents Converting to the LCD Addition of fractions with rational exponents See attached file for full problem description.

### Ratios and Proportions Word Problems

The speed of a freight train is 15ph slower that the speed of a passenger train. The freight train travels 390 mi in the same time that it takes the passenger train to travel 480 mi. Find the speed of each train. It takes 60 oz of grass seed to seed 3000ft^2 of lawn. At the rate how much would be needed to seed 5000ft^2 of

### Solving Equations and 'Together and Alone' Word Problems

6.8 5. By checking work records, a contractor finds that Kenny Dewitt can wire a room addition in 9 hr. It takes Betty Wohnt 7 hr to wire the same room. How long would it take if they worked together? 9. The HP Officejet 4215 All-in-one printer, fax, scanner, and copier can print in black one copy of a company's year-end

### Ratios and Proportions Word Problems

You have a 4x6 photograph that you would like to have enlarged. If the desired new width it 6 inches what should the length be?

### Ratios and Proportions Word Problems

Bear Population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?

### Fraction Subtraction Lowest Terms

Reduce to lowest terms. See attached file for full problem description.

### Solve each formula for the indicated variable

Y-3 -1 ____= _____ for y x+2 5

### Perform the indicated operation. Write answer in lowest terms

M^2-1 2m-2 ________ . _______ (m-1)^2 3m+3

### Perform the indicated operation or solve the question

Two problems x^2-4 4x -8 ______ divided by _________ x x 4 1 _______ + _______ a^2 - 1 2a + 2

### Fractions with polynomials

3 3 ____ - _____ x-1 x problem #2 2 6x-12 ____ . _______ x-2 14

### Solving for Fractions in Simplest Form

Solve for x: 2 (x - 3) + 3 = -5 (-5x - 1) + 3x

### Ratios and Proportions Word Problems

1. A lawyer bills her clients \$250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax). 2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a ma

### Solving Fraction Based Equations

Question: Solve for X. Write your answer as a fraction in simplest form. Solve: 4/3x - 3 = 7/4x - 4/3

### A local hamburger shop sold 423 hamburgers and cheeseburgers

A local hamburger shop sold 423 hamburgers and cheeseburgers on Tuesday. The number of cheeseburgers sold is two times the number of hamburgers sold. How many cheeseburgers did they sell?

### Process Capability Ratio

The Older Then Dirt potting soil company uses a machine to fill 40-pound bags of enriched potting soil. The machine has a process standard deviation of 4 ounces. A new industry group wants to sets limits on what can be called a 40-pound bag: a 40-pound bad of dirt must weight at least 39 pounds, 2 ounces and no more than 40 p

### Let A represent the total amount of money in the drawer

Maria decided to start saving money. She put \$35 in her drawer to start out, and she puts an additional \$5 in the drawer each month. Let A represent the total amount of money (in dollars) in the drawer, and let N represent the number of months that Maria has been saving. Write an equation relating to A to N.

### Fraction Subtraction

Evaluate: 9/-5 - (-7/8).

### Solving a Fractions Word Problem

What is the diameter of a circle with a radius of 23 3/5? YES, this is a fraction problem and please break it down. THANKS

### Fractions, inequalities, and cross-multiplication

When we have two fractions on either sides of an equality or inequality symbol, we can multiply the numerator on the right hand side (RHS) with the denominator of the left hand side (LHS) and the numerator of LHS with denominator of RHS. The process of multiplying across the symbol and down is referred to as cross-multiplicati

-9/10 x 4/3

### Adding, Multiplying and Dividing Fractions and Mixed Fractions (50 Problems)

Please see the attached file for the fully formatted problems.

### Reducing polynomial fractions to lowest terms

Reduce the following rational expression to its lowest terms: 9t^5 x^3 ----------------------- 15 t^2 y^2 + 9t^4

### Compound Fractions Lowest Terms

Express the following compound fraction in lowest terms 10c^2 d ------------- 7ab^3 --------------- 5c^3 d^4 --------------- 14b^5

### Fractions Word Problems and Writing Equations from Word Problems

Allison is saving money to buy a video game system. In the first week, her savings were \$8 less than 2/5 the price of the system. In the second week, she saved 50 cents more than 1/2 the price of the system. She was still \$37.00 short. Find the price of the system.

### Ratios and Proportions for Private Automobiles

The ratio of taxis to private automobiles int imes square @ 6pm on New Year's Eve was estimated to be 15 to 2. If there were 60 taxis, then how many private automobiles were there?

### Perform fraction reduction

Perform the operation. x 3x --------------- - ------------- x^2 - 2x - 3 x^2 - 9