Recycled Paper. Unable to purchase 60 reams of paper that contain 20% post-consumer fiber, the Naylor School bought paper that was either 0% post-consumer fiber or 30% post-consumer fiber. How many reams of each should be purchased in order to use the same amount of post-consumer fiber as if the 20% post-consumer fiber paper was availabe?
Please help me!
Please help me!
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If they were going to purchase 60 reams of paper at 20% p-c fiber, that gives them 60 * 0.2 = 12 reams of p-c fiber.
Define two variables, x = reams of 0% p-c, and y = reams of 30% p-c
They are buying 60 reams, so
x + y = 60
They want to total the equivalent of 12 reams of p-c fiber, so
0x + 0.3y = 12
Use the second equation to solve for y:
0.3y = 12
y = 12/0.3 = 40
Use the first equation to solve for x:
x + y = 60
x + 40 = 60
x = 60 - 40 = 20
So the answer is 20 reams of 0% p-c fiber, and 40 reams of 30% p-c fiber.
Define two variables, x = reams of 0% p-c, and y = reams of 30% p-c
They are buying 60 reams, so
x + y = 60
They want to total the equivalent of 12 reams of p-c fiber, so
0x + 0.3y = 12
Use the second equation to solve for y:
0.3y = 12
y = 12/0.3 = 40
Use the first equation to solve for x:
x + y = 60
x + 40 = 60
x = 60 - 40 = 20
So the answer is 20 reams of 0% p-c fiber, and 40 reams of 30% p-c fiber.