Question

The product of a number and ten is twelve more than the product of the number and five-eighths.

How do I do this problem?

Answer 1

Let the unknown number be x.

Given,


`10 * x = 12 + (5)/(8) * x`


`10x = 12 + (5x)/(8)`


`10x - (5x)/(8) = 12`


`((10x*8)-5x)/(8) = 12`


`80x-5x =12*8`


`75x = 96`

x =
`(96)/(75)` = 1.28

Hence, the number is 1.28