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Question

There are 2,135 dance platforms. Each platform has 2 folk dancers and 4 dancers each on the four sides.


How many dancers have participated in all?


A
35,530
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B
36,503
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C
38,430
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D
32,674
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Solution

The correct option is C 38,430
We need to find the total number of dancers.

Number of dance platforms = 2,135

Number of dancers around the platform = 4 × 4 = 16
Number of folk dancers = 2
So, total number of dancers on one platform = 16 + 2 = 18

∴ Total number of dancers will be
= 2,135 × 18

Steps for the multiplication process are:

1. Multiply 2,135 by 8 ones.
2. Multiply 2,135 by 1 ten or 10.
3. Regroup the results as necessary.
4. Add all the partial products to get the final product.


∴ 2,135 × 18 = 38,430

Hence, total number of dancers on the platform is 38,430.


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