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In a collection of pencils, if there are 102 pencils in total and they are in the ratio 1 : 2, how many pencils are in the larger part of the ratio?

a) 34
b) 51
c) 68
d) 102

User Flashnik
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1 Answer

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Final answer:

To determine the number of pencils in the larger part of the ratio 1:2 from 102 pencils, first find the number of pencils per part by dividing 102 by 3, which gives 34. Then multiply by 2 for the larger part of the ratio, resulting in 68 pencils.

Step-by-step explanation:

The question asks to find out how many pencils are in the larger part when a collection of 102 pencils is divided in the ratio 1:2. To do this, first add the parts of the ratio together: 1 + 2 = 3. This tells us that there are 3 equal parts in total. Now, divide the total number of pencils, which is 102, by the total number of parts, which is 3, to find out the amount per part:

102 ÷ 3 = 34

Since the larger part of the ratio is 2 parts, we multiply the amount per part by 2:

34 × 2 = 68

Therefore, there are 68 pencils in the larger part of the ratio.

User Ancil
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