# Chapter 3 Problems and Word Problems

## 21 terms

### inconsistent

Is y=x+4 and y=x−4 consistent independent, consistent dependent, or inconsistent

### consistent independent

Is 2y=x and 8y=2x+1 consistent independent, consistent dependent, or inconsistent

### (1 2/9,17/18)

Solve using substitution 6y=3x+2 and 4y+x=5

### (3/4,1 1/2)

Solve using elimination 2x+3y=6 and 6x+3y=9

### (1/3, −1/2, 1/4)

Solve 6x+2y+4z=4 2x+2y+3z=3 x+3y=5

### 2,4,6,8

Find 4 consecutive even integers if the sum of the first and third is 4 more than the second

### 53 degrees

How large is an angle whose supplement is 21 degrees less than four times its complement

### Base=10 inches Legs=2 feet 1 inch

Each leg of an isosceles triangle exceeds twice the base by 5 inches. Find each side of the triangle if the perimeter is 5 feet.

### 3 hours

At a ceratin time, two airplanes start from the same airport and travel in opposite directions at 350 mph and 325 mph. In how many hours will they be 2025 miles apart?

### 10 feet

A rectangular lawn is 40 feet by 60 feet. The grass is cut in a uniform strip along the edges so that one-third of the grass remains uncut. How wide is the strip?

### 12 \$20 bills and 3 \$50 bills

Mr. Hogan asked a bank teller to cash a \$390 check using \$20 bills and \$50 bills. If he received a total of 15 bills, gow many of each did he receive?

### larger=14 smaller=5

Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is 71. What are the numbers?

### Length=16 2/3 feet Width=8 1/3 feet

A man wants to put up a border around his tomato plants. His plants are in a rectangular garden where the length is twice as long as the width. Find the dimensions of the garden if the perimeter is 50 feet.

### quarter=6 dimes=9 nickels=18

A collection of 33 coins, consisting of nickels, dimes, and quarters, has a value of \$3.30. If there are three times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kind are there?

### Heather is 24

One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?

### 25 ounces

How many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt?

### 5 \$0.40 tablets and 15 \$0.25 tablets

Some \$0.25 paper tablets and some \$0.40 tablets are mixed to make a package of 20 tablets worth \$5.75. How many of each priced tablet will be in the packet?

### Stock A=\$2000 Stock B=\$3000

Bob's income from two stocks each year is \$280. Stock A pays dividends at the rate of 5% and stock B at the rate of 6%. If he has invested a total of \$5000 how much is invested in each stock?

### 5/12

If 1 is subtracted from the numerator of a fraction the resulting fraction is 1/3. If two is subtracted from the denominator the resulting fraction is 1/2. Find the original fraction

### 47

The sum of the digits of a two digit number is 11. If the digits are reversed the resulting number is 27 less than the original number. What is the original number?

### Rate of the boat=2mph Rate of the current=4mph

Traveling downstream, a boat can go 12 miles in two hours. Going upstream it can only make 2/3 of this distance in twice the amount of time. What is the rate of the boat in still water and what is the rate of the current?