Can anyone help me with this math?

Question

ohkayy, i need help finding the answers to these:

1.) 75 is 48 percent of what number?

2.) What number is 75 percent of 140?

3.) 126 is what percent of 350?

4.) 175 percent of 48 is what number?

thank you so mush. could you also tell/explain to me how you got the answer so i know in the future? thank you

Answer 1

1.) "is" mean "="

     "percent" means "%"

     "of" means "multiply" or "x"

     "what number" means a variable... we'll use "N"

75 = 48% x N

first we'll change the percent to a decimal. 48/100 = .48

75 = .48 x N

75 = .48N

75/.48 = .48N/.48  --- Divide by .48 to get N by itself; what you do to one side, must be done to the other

156.25 = N

ANSWER: 75 is 48 percent of 156.25

2.) What number is 75 percent of 140

N = 75% x 140  --- 75/100= .75

N = .75 x 140

N = 105

ANSWER: 105 is 75 percent of 140

3.) 126 is what percent of 350

126 = N% x 350    ---   N/100 = 1/100 x N = .01N

126 = .01N x 350

126/350 = .01N x 350/350   --- Divide both sides by 350 to get rid of the 350 on the N side

.36 = .01N

.36/.01 = .01N/.01  --- Divide both sides by .01 to get N by itself

36 = N

ANSWER: 123 is 36 percent of 350

4.) 175 percent of 48 is what number?

175% x 48 = N   ---  175/100 = 1.75

1.75 x 48 = N

84 = N

ANSWER: 175 percent of 48 is 84

Answer 2

75=.48x

75/.48=x

156.25=x

x=.75x40

x=30

126=(x/100)350

(126/350)100=x

36%=x

(175/100)48=x

84=x

Answer 3

75=.48x

75/.48=x

156.25=x

x=.75x140

x=105

126=(x/100)350

(126/350)100=x

36%=x

(175/100)48=x

84=x

10 points please!

Answer 4

1) 156.25

2.) 105

3.) 36%

4.)84

Answer 5

you use this equation to get the answers .....Ax 0.0B=the answer

1.) Ax 0.48= 75.......A=156.25 (we divided each side be 0.48)

2.)140x 0.75=the answer

                  =105

3.)350x 0.0b=126

   B= 12600/350

     = 36

4.) 1.75 x 48=the answer

                  = 84