Afactory has three types of machines, each of which works at its own constant rate. if 7 machine as and 11 machine bs can produce 250 widgets per hour, and if 8 machine as and 22 machine cs can produce 600 widgets per hour, how many widgets could one machine a, one machine b, and one machine c produce in one 8-hour day?
a. 400
b. 475
c. 550
d. 625
e. 700

A. 400

Step-by-step explanation:

Although it seems a difficult at first, this problem can be solved in fairly simple manner. First, write down the equations given by the problem:

There we have 3 unknown values and only 2 equations so it can't be solved as a common system problem. However, if we double the first equation and add it to the second one, it yields:

Therefore, one machine A, one Machine B, and one Machine C produce 50 widgets per hour, so in one 8-hour day they produce:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

10

step-by-step explanation: