math question?

Question

I have a problem in math that I'm not sure how to solve can you explain how to solve it for me?

The problem is: 16 is 40% of______
another problem: 7______% of 16

can you explain to me how I would do these?

Answer 1

The problem is: 16 is 40% of______
16 = 40% *x
16 = .4x
x= 16/.4
x = 40

7______% of 16
7 = x% 16
7/16 = x%
.4375 = x%
43.75 % = x

Answer 2

1) you write:
16/x=40/100
(you must represent the 40% as a decimal, thus you divide it by 100).

Then you have: 16/x=0.4. So x=16/0.4= 40

2)you write:
7/16=x/100
so x=43.75%.

Note you have always 2 proportions: the first is a fraction: the part over the total. The second is the percentage over 100. When you don't know any of these data, you only replace it by x and solve the little equation.

Answer 3

you can solve all problems like these with proportions.
When they give you a percentage, it's PART of 100%, so we write that as a fraction. 40% becomes 40/100, because there's 100 percent in total, ALWAYS, and we have 40 out of that 100. The next step is to set this fraction equal to ANOTHER fraction, in our proportion. Like the first fraction, the WHOLE of whatever we have, equivalent to 100% of whatever we have, goes on the bottom. In the first case, we don't know how much we have in total, so let's put x on the bottom. We have 16 of this larger number, whatever it is, so we get 16/x = 40/100. 40 out of 100 is the same as 16 out of some larger number. As with any proportion, we can solve by cross multiplying. 40x = 16x100. 40x = 1600. x = 40. The second one is the same, only we don't know how many %s out of 100% we have, so let's say x/100. That's equal to 7/16, you know? so x/100 = 7/16. cross multiply for 16x = 7x100.
16x = 700. x = 43.75.

Answer 4

Have you had algebra?
You can write the first problem as 16 = 0.40x
then solve for x by dividing both sides of the equation by 0.40
16/0.40 = 40
0.40x / 0.40 = x
so x = 40

You can write the second problem as a proportion:
7 is to 16 as x is to 100 -- or --
7/16 = x/100
16x = 700
x = 0.4375 or 43.75%
-- or --
you could do it even more simply and write the problem as a long division problem: 7/16. You'll get the same answer.

Good luck!

Answer 5

16 IS 40% OF 40. Multiply 16 X 2.5 (which is how many times 40 goes into 100 per cent) to get 40.

7 IS 43% OF 16.

The easy way to figure it out is to divide 7 by 16....which is .4375 or 43%

Answer 6

Well I don't know about the 2nd one but the first one:

you divide : 16 /.40 because .40 represents 40 % as a decimal

and your answer is : 40

Answer 7

16 is 40% of x
16 /1 / 40/100
16/1 x 100/40= 1600/40=40

7 is x of 16
7/16 x/100
16x=700
16x/16=700/16
x=43.75%

Answer 8

Examples from Math.com (visit source link for more help) just change your numbers in the below:
n is 50% of 60 -> n = 0.5 x 60 = 30
n is 4% of 33 -> n = 0.04 x 33 = 1.32
n is 150% of 24 -> n = 1.5 x 24 = 36

Answer 9

the first one, you can divide them both by 4, so then 4 is 10%. then multiply by 10, so 40 is 100%

second one, use a calculator, 7/16.

Answer 10

I would divide X by y% and then multiply by 100% = z

so
X/%Y*100=z
16/40 * 100 =40

and then for the second it would be

X/(z/100)
7/(16/100)=43.75%