Question

5/8 of a number is 200. What is 7/10 of the number ?

Answer 1

= 224

Explanation:

Hi there!, here is how we solve the problem;

To begin, the question wants us to determine

`(7)/(10)`

of the number x (unknown).

`(5)/(8) = 200 \\ (8)/(8) = x \\ ( ( (8)/(8) * 200 )/( (5)/(8) ) ) \\ = (8)/(8) * 200 * (8)/(5) \\ = 320 \\ x = 320`

We have found our x = 320

Lets now determine

`(7)/(10)`

Which is given by;

`( (7)/(10) * 320 \\ = 224`

`(7)/(10)`

of the number is therefore 224.

= 224 <<<<<< Ans

I hope this helps.

Have a nice studies.

Answer 2

224

Explanation:

Let x be the unknown number.

(5÷8)x = 200

Then

x = (8×200) ÷ 5

= 1600 ÷ 5

=320

……………………………

(7/10)x = (7/10)×320

= (7×320) ÷ 10

= 224