Question

Monica thinks of a number. When she takes away 7 from 5/6 of the number, she gets 28. Find the original number she thought of.​

Answer 1

Answer: 42

Explanation:

5/6x - 7 = 28

Add 7 to both sides.

5/6x=35

Divide by 5/6 on both sides.

x = 42

To check your work, take 42 and multiply it by 5/6, then subtract it by 7. You shoulc end up with 28.

42(5/6) = 35

35 - 7 = 28

Answer 2

42

Explanation:

Forming an algebraic equation and solving:

Let the number she thought = 'x'

5/6 of the number :
`\sf (5)/(6)*x`

`\sf \text{take away 7 from $\sf (5)/(6)*x$} : (5)/(6)x - 7 \\`

`\sf (5)/(6)x-7 = 28\\\\\text{\sf Add 7 to both sides}\\\\ (5)/(6)x= 28 +7 \\\\ (5)/(6)x = 35`

Multiply both sides by 6

5x = 35 * 6

Divide both sides by 5,

`\sf x = (35*6)/(5)\\\\ x = 7 * 6\\\\\boxed{\text{\bf The number is 42}}`