Originally posted by Contributed
Ok so I got a take home quiz and I really suck at these problems... Also, when you post the answer can you post some pre steps since she wants a little bit of work. Thanks.
9. If the quotient of a number and 6 is added to twice the number, the result is 8 less than the number. Find the number.
10. When 75% of a number is added to 6, the result is 3 more than the number. Find the number.
For Question 9:
Let us use X as the number we have to find.
The information shows: X/6 + 2X = X-8
Add 8 to both sides to make X by itself: X = X/6 + 2X + 8
Times all by 6 to eliminate the fraction: 6X = X + 12X + 48
The X and 12X add together: 6X = 13X + 48
Take 6X from both sides and take 48 from both sides: 7X = -48
X = -6.857
For Question 10:
So far the information shows: 0.75X + 6 = X + 3
Take 3 from both sides: 0.75X + 3 = X
Take 0.75X from both sides: 3 = 0.25X
Times both sides by 4: 12 = X