sandy wrote:
m + 2n = 10 and m is 50% of n
Quantity A |
Quantity B |
\(m^2\) |
\(n\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
This is a system of equations question
in disguise Given:
m + 2n = 10We're also told that m is 50% of n, which we can rewrite as
m = 0.5nSo, we have the system....
m + 2n = 10m = 0.5n...which we can solve for m and n
If
m = 0.5n, we can take
m + 2n = 10 and replace m with 0.5n to get: 0.5n + 2n = 10
Simplify: 2.5n = 10
Solve: n = 4
Since n = 4 AND since
m = 0.5n, we can conclude that m = 0.5(4) = 2
So, the solution to our system of equations is n = 4 and m = 2
So, our quantities become:
Quantity A: 2²
Quantity B: 4
Answer: C
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep