I need help with these.... Someone help me please!!!!

Question

1. 50% of 108 is M 

 

2. 20% of 375 is W

 

3. N% of 8 is 6

 

4. A% of 48 is 18 

 

5. F% of 15 is 12 

 

6. 10% of L is 60 

 

7. 10% of 45 is S 

 

8. 5% of 1600 is O 

 

9. 27 is 75% of D 

 

10. 150% of R is 36 

 

11. 4% of C is 1.44 

 

12. 15% of 62 is T 

 

13. 200% of E is 36

Answer 1

percentage=rate*base

the percentage is the "is" number

the rate is the "%"

the base is the "of" number

 

12) 15% of 62 is T

you are looking for the percentage, the "is" number

percentage=rate*base

T=15%*62

T=0.15*62

T=9.3

 

11) 4% of C is 1.44

you are looking for the base, the "of" number

1.44=4%*C

1.44=0.04*C

144=4*C

144/4=C

C=36

 

5) F% of 15 is 12

you are looking for the rate, the "%"

12=F%*15

12/15=F%

4/5=F%

4/5=F/100

(4*20)/(5*20)=F/100

80/100=F/100

F=80%

Answer 2

The key word "of" implies multiplication, while "is" implies equals:

1.   50% of 108 is M  —> M = 50% * 108 = 0.5*108 = 54     so M=54

2.   20% of 375 is W  —> W= 20% * 375 = 0.2*375 =  (you solve)

3.   N% of 8 is 6

          (N/100)*8 = 6

           8N = 600

             N = 600/8 = 75   N=75 (%)

            

All of the rest follow either the pattern of problem 1, or the pattern of problem 3.

             

Answer 3

All of these have the same format: a% of b = c.

 

To do problems like this, multiply a (in decimal form) times b to get c.

ab = c

 

Now plug in the numbers you have and solve for the one you don't.

 

For example, 50% of 108 is M

a = .50 (50% written as a decimal)

b = 108

c = your answer

 

ab = c

(.5)(108) = c = 54, so your answer is 54

 

Another example: N% of 8 is 6

a = your answer

b = 8

c = 6

 

ab = c

a(8) = 6

Divide both sides by 8

a = .75 = 75%

 

The one question that is in a different format is #9. It says 27 is 75% of D.

This is in the format of c is a% of b.

So a = .75

b = your answer

c = 27

 

ab = c

(.75)b = 27

Divide both sides by .75

b = 36

 

Now can you do the rest of the problems yourself?