Answers

1.

Tammy bought a coke for $1.08, a bag of chips for $1.99 and 4     sweet tarts for $.35 each and paid 8% sales tax. If she gave the cashier $20, how much change will she receive?

   1.08
+ 1.99
+ 4(0.35)
= 4.47

4.47 
x 0.08
0.36

 

4.47
+.36 
4.83

 
20.00 
-4.83
$15.17

 
 

2.

Charlie wants to put a fence around his circular garden. If the diameter of the garden is 20 ft, How many feet of fence will he need to buy? If fence is $3.00 per foot, how much will the fence cost?

Circumference = 2¶r or ¶d     

  (3.14)(20) = 62.8 feet

62.8 x 3.00 = $188.40

3.

Fido gets 2 doggy treats every time he sits and 4 doggy treats when he rolls over on command. Throughout the week, he has sat 6 times as often as he has rolled over. In total he has earned 80 doggy treats. How many times has Fido sat?

Set up an equation and solve, Sit = 6x  roll over = x total is 80
 
Equation: 2(6x) + 4x = 80 ® 12x+4x=80 ® 16x=80 and x = 5.  He sat 6(5) times = 30.
 

4.

On a blueprint of a house, the scale is .4 inches to 3 feet. How wide is the kitchen if it measures 15 inches wide on the blueprint?

Scale is .4in to 3ft so your proportion will be:
 
4 in

=

 15 in
4x = 45   x = 112.5 feet
3 ft   x ft

 

5.

The ratio of  wins to losses for the Astros is 22 to 12.  What is the percent of wins?     won 22 out of 34 games

22
  ®  .647 means 64.7% winning percentage
34
 

6.

Jacob earns $3,000 per month working on computers for UBC Corporation. His employer deducts 35% of his paycheck for taxes, insurance, and social security. How much money does Jacob take home every month?

3,000 x .35 = 1050

3,000 – 1,050 = 1950

 

 

7.

Pam’s daughter weighs half as much as Pam. Pam’s father weighs twice as much as Pam. All three together weigh 469 pounds. How much does Pam weigh?

Pam = x    daughter = ½x  father = 2x
Equation:  x + ½x +2x = 469
3.5x = 469
134 lbs

 

8.

Find the value of x.

 
23 in

=

 46 in
46x = 736   x = 16 in
x     32 in

 

9.

Find the hypotenuse.

 

Use Pythagorean Theorem  ® c2 = a2 + b2  where c is the hypotenuse.
        x2 = 62 + 62   ® x2 = 36 + 36   ® x2 = 72  ® x = 8.48

10.

Chris drove 348 miles at an average speed of 58 miles per hour. If her started at 8:00 p.m., when would he arrive at his destination?  Distance = rate · time

348 = 58t  ®

 348 = t       t = 6 hours
58

He arrived at 2:00 in the morning.

 

11.

A recent poll taken at school showed that 3 out of every 10 students did not eat breakfast. There are 1020 students in the school. How many students eat breakfast?

7 out of 10 eat breakfast.  70%
1020 x 70% (.7) = 714
 

 

 

12.

Jason has an average golf score of 82 for 6 games. If his score for 5 games was 76, 88, 80, 79, 84; what was his score for the 6th game? x is unknown score

82 =

76+88+80+79+84+x 6(82) = 407 + x
             6                                x = 85 
 

13.

Karlin wants to paint one wall in her room. If the wall is 22ft by 12ft. She has a window 3ft by 3ft and a door 4 ft by 8 ft. If the cost of paint is $0.15 a square foot, how much will it cost her to paint the wall?

Area of wall is (22)(12) = 264

Area of window is (3)(3) = 9

Area of door is (4)(8)=32

       264         
–   9   
– 32
223 ft

 
        223     
x 0.15
$33.45

 
14.

Derrick got 83% on his first Computer Science test. How much must he get on his second test if he wants an 86% average?

Average = 

sum of tests x = 2nd test
number of tests

86 = 

83 + x ® 172 = 83+x   ®  x = 89
2

 

15.

Given the cylinder below. How much will it cost to fill the tank with gas if gas is $8.50 for each cubic foot.   r = 13 ft and h = 12 ft

Area of cylinder = 2¶r h

(2)(3.14)(3)(12) = 226.08 ft3

(226.08)(8.50) = $1,921.68