<h3>
Answer: 13 pens</h3>
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Explanation:
Roy spends 1/4 of his money on 3 pens and 6 notebooks. That means 3/4 of it is leftover.
2/3 of 3/4 = (2/3)*(3/4) = 1/2 of his money is spent on buying some unknown number of additional pens. We'll come back to this later.
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In terms of cost,
1 pen = 3 notebooks
which is another way of saying 1 pen is the same price as 3 notebooks.
Multiply both sides by 2 to get
2 pens = 6 notebooks
Therefore, saying "3 pens + 6 notebooks" is the same as "3 pens + 2 pens = 5 pens" when just thinking about costs.
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In short, Roy buying 3 pens and 6 notebooks is the same as him buying 5 pens. He spends 1/4 = 25% of his money on getting these 5 pens.
Multiply those two values by 2 to find that 50% = 1/2 of his money would allow him to get 10 pens.
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Recall that at the end of the first section, we concluded that Roy spent 1/2 of his money on buying those unknown additional number of pens. Then the previous section mentioned that 1/2 of his money gets him 10 pens. Therefore, he must have bought 10 additional pens on top of the original 3 mentioned in the instructions.
Overall, he purchased 3+10 = 13 pens
Answer:
16 acres
Step-by-step explanation:
First find the operating cost for 1 acre. Find that by dividing $551,520 by 20 acres. That gives us $27,576 per acre. Now we can set up a proportion to solve for the number of acres that have an operating cost of $441,216:

Cross multiply to get:
27576x = 441216 so
x = 16
We did not have to find the cost per acre to solve this. We could have set up the proportion with $551,520 on the top of the ratio and 20 on the bottom and we would still have gotten the same answer. I just figured the numbers wouldn't be as large if we divided to find the cost per unit.
Answer:
48x
PEMDAS: Do the exponent first 4 times 4 is 16 times that by 3x to get 48x.
Answer:
17.7763888346
Step-by-step explanation: