Answer: 42
Step-by-step 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:
42
Step-by-step explanation:
Forming an algebraic equation and solving:
Let the number she thought = 'x'
5/6 of the number : [tex]\sf \dfrac{5}{6}*x[/tex]
[tex]\sf \text{take away 7 from $\sf \dfrac{5}{6}*x$} : \dfrac{5}{6}x - 7 \\[/tex]
[tex]\sf \dfrac{5}{6}x-7 = 28\\\\\text{\sf Add 7 to both sides}\\\\ \dfrac{5}{6}x= 28 +7 \\\\ \dfrac{5}{6}x = 35[/tex]
Multiply both sides by 6
5x = 35 * 6
Divide both sides by 5,
[tex]\sf x = \dfrac{35*6}{5}\\\\ x = 7 * 6\\\\\boxed{\text{\bf The number is 42}}[/tex]
