Question

An administrative assistant is making some copies. She made 49 one-sided copies and 32 two-sided copies for the V.P. of Marketing, which took a total of 243 seconds. Next, she made 32 one-sided copies and 32 two-sided copies for the Director of Sales, which took 192 seconds. How long does it take to make each type of copy?

Answer 1

Answer: Therefore, it takes 3 seconds to make each one-sided copy and 3 seconds to make each two-sided copy.

Step-by-step explanation: Equation 1: 49x + 32y = 243 (This equation represents the time it took to make copies for the V.P. of Marketing)

Equation 2: 32x + 32y = 192 (This equation represents the time it took to make copies for the Director of Sales)

We can solve this system of equations to find the values of "x" and "y".

Multiplying Equation 2 by 49/32 (to eliminate y):

49/32 * (32x + 32y) = 49/32 * 192

49x + 49y = 294

Subtracting Equation 1 from this new equation:

(49x + 49y) - (49x + 32y) = 294 - 243

49y - 32y = 51

17y = 51

y = 3

Substituting the value of "y" back into Equation 1:

49x + 32(3) = 243

49x + 96 = 243

49x = 147

x = 3