120 is what percent of 80?

Question

I really nee dhelp with these few questions. i will really appreciate the help.

1. 120 is what percent of 80?

2. If the sum of two numbers is 20 and one of these numbers is twice the other, then the smaller number is ?

a. -20
b. 5
c. 7
d. 20/3
e. 40/3

Thank you.

Answer 1

1) For the first question, you can write a formula. The question is 120 is what percent of 80, so:

(80 * x)/100 = 120

x/100 is a percent, because all percents, such as a%, is equal to a/100. Now multiply by 100 on both sides:

(80 * x)/100 = 120
= (80 * x)/100 * 100 = 120 * 100
= 80x = 12000

Finally, divide by 80 on both sides to find x:

80x = 12000
= 80x/80 = 12000
= x = 150

This is the answer: 150%.

For the second question, represent one number as x and the other as y. Now write two equations from the clues given. Because the sum of the two numbers is 20, this is the first equation:

x + y = 20

Next, one number is twice the other, so:

y = 2x

After writing these equations, substitute the second equation into the first:

x + y = 20
= x + (2x) = 20

Combine like terms:

x + (2x) = 20
= 3x = 20

Finally, divide by 3 to obtain the value of x:

3x = 20
= 3x/3 = 20/3
= x = 6 2/3

This is the smaller number, and your answer: 6 2/3.

Hope this helps!

Answer 2

80 is 100% of 80. 80/80 = 1 = 100%. So 120/80 = 3/2= 1 1/2 = 150%. That's your answer. 2nd question: 20/3= 6 2/3. 6 2/3 times two is 13 1/3. 6 2/3 plus 13 1/3 is 20 so d. is the correct answer.

Answer 3

1. 120 is what percent of 80?
120 / 80 = 1.5

Answer: 150%

2. What is the smaller no.?

Let x = smaller no.; 2x = bigger no.

Equation:
x + 2x = 20
3x = 20
x = 20 / 3

Answer: 20/3 or 6 2/3 is the smaller no. or letter d from among the choices of possible answers.

Proof:
(6 2/3) + 2(6 2/3) = 20
(6 2/3) + (13 1/3) = 20
20 = 20

Answer 4

1. 150%
(120 * 100 / 80 = 150)

2. D

Answer 5

1. 150% (80*1.5=120)

2. d. 20/3 (20/3+ 40/3 = 60/3 = 20)

Answer 6

Question 1
(120 / 80) x 100%
3/2 x 100%
150%

Question 2
Let numbers be x and y
x = 2y
x + y = 20
2y + y = 20
3y = 20
y = 20 / 3
ANSWER d

Answer 7

1. 120/80 = x/100

solving for x yields x = 150

2. 2x + x = 20, x = 20/3.

Answer 8

1. 120/80 x 100% = 150%

2. x + y = 20
y = 2x
x + 2x = 20
3x = 20
x = 20/3

Ans is (d)

Answer 9

to find this you gat to divide 120 by 80
ie 120/80 =1.5
so 120 is 1.5% of 80.
end of question 1
No 2 question
let the smaller no=a,
let the larger no =b,but since the larger no is 2x the smaller
so b=2a
and the equ=a+2a=20
3a=20
a=20/3.ans.......so option (d).

Answer 10

1. 80x = 120; x=1.5 (150%)

2. 2x + x = 20; x=20/3 (d.)