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Alekssandra [29.7K]
3 years ago
13

Jim is a salesman at a paper company. He sold 34 cases of paper to a law office. A case of paper contains 10 reams. How many rea

ms of paper did he sell?
Mathematics
1 answer:
sasho [114]3 years ago
3 0

Answer:

Jim sold 340 reams of paper.

Step-by-step explanation:

The rule of three is a way to solve proportionality problems between three known values ​​and one unknown. . That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three should be applied as follows, a, b and c the known values ​​and x the unknown:

a ⇒ b

c ⇒ x

So: x=\frac{c*b}{a}

In this case, the rule of three can be applied as follows: if 1 box of paper contains 10 reams, 34 boxes of paper will have how many reams?

amount of reams=\frac{34 boxes*10 reams}{1 box}

amount of reams= 340 reams

<u><em>Jim sold 340 reams of paper.</em></u>

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How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
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Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

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