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Question

Mr. Joshi has 430 cabbage-plants which he wants to plant out. Some 25 to a row and the rest 20 to a row. If there are to be 18 rows in all how many rows of 25 will there be?

A
10
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B
14
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C
8
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D
12
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Solution

The correct option is C 14
Let 'x' rows of 25 and 'y' rows of 20.
Given, 25x+20y=430
5x+4y=86 ....(1)
Also x+y=18 ....(2)
Multiply equation (1) by 4, we get
4x+4y=72 ....(3)
Subtract equations (1) and (3), we get
x=14
Hence, answer is 14.

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