Question

What is the solution to the system of equations for n and q, where:

n + q = 35

0.05n + 0.25q = 5.15

A) n = 20, q = 15
B) n = 10, q = 25
C) n = 15, q = 20
D) n = 25, q = 10

Answer 1

To solve the system of equations, use the method of elimination. The solution is n = 18 and q = 17.

Step-by-step explanation:

To solve the system of equations, we can use the method of substitution or elimination. Let's use elimination:

Multiply the first equation by 0.05 to make the coefficients of 'n' equal in both equations:

0.05n + 0.05q = 1.75

0.05n + 0.25q = 5.15

Subtract the first equation from the second equation:

(0.05n + 0.25q) - (0.05n + 0.05q) = 5.15 - 1.75

0.25q - 0.05q = 3.4

0.2q = 3.4

q = 3.4 / 0.2

q = 17

Now substitute the value of 'q' into the first equation to find 'n':

n + 17 = 35

n = 35 - 17

n = 18

Therefore, the solution to the system of equations is n = 18 and q = 17.