Question

Write an equation for the following math sentence.

One fourth times the difference of ten and a variable is 2/3.

Answer 1

Explanation:

Let x be the variable.

One fourth times the difference of ten and x is 2/3

1/4 (10 - x) = 2/3

10 - x = 3/2

-x = 3/2 - 10

x = -3/2 + 10

x = 13/2

Answer 2

The answer is:

`\rm{(1)/(4)(10-d)=(2)/(3)}`

Work/explanation:

First, the variable is d

Then, the difference of 10 and d is 10 - d.

One-fourth is 1/4.

The equation is :
`\rm{(1)/(4)(10-d)=(2)/(3)}`.

Therefore, this is the required equation.