If you multiply a number by 3 and then add 40, the result is the same as if you first add 17 and then multiply by 2. What is the result if you subtract 9 from the number and then multiply by 4?
A. -60
B. -72
C. -84
D. -108
E. -124
3x + 40 = 2(x+17) = 2x + 34
x = -6
4(-6 -9) = ?
4( -15) = -60
Right.
Thank you very much PsyDAG.
108
To solve this problem, we need to set up and solve the equation using the given information. Let's represent the number as "x".
Given:
3x + 40 = 2(x + 17)
Now, we can solve for "x":
3x + 40 = 2x + 34 [distribute the 2 on the right side of the equation]
x = -6 [subtract 2x from both sides and subtract 40 from both sides]
Now that we have found the value of "x" as -6, we can calculate the result when we subtract 9 from the number and then multiply by 4:
Result = (x - 9) * 4
= (-6 - 9) * 4
= (-15) * 4
= -60
Therefore, the result if we subtract 9 from the number and then multiply by 4 is -60.
So, the correct option is A. -60.