A gardener planted some seedlings at equal distances apart along

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A gardener planted some seedlings at equal distances apart along a straight road.The 3rd seedling and the 5th seedling were 9/10 m apart. The 2nd seedling and the last
seedling were 6 3/4 m apart. How many seedlings did he plant?

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bina3948

18.07.2019

Math

Secondary School

answered • expert verified

A gardener planted some seedlings at equal distances apart along a straight road the 3rd seedling and the 5th seedling were 9/10 m apart . The 2nd seedling and the last seedling were 6 3/4 m apart . How many seedlings did he plant

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prettystefina11

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Answer:

17 seedlings

Step-by-step explanation:

Given;

The seedlings are at an equal distance in a straight line.

Distance between 3rd seedling and 5th seedling = 9/10 m

So, distance between 3rd seedling and 4th seedling = 9/10 ÷ 2 = 9/20 m

So, the distance between two seedlings in a line = 9/20 m

The given distance between 2nd seedling and the last seedling = 6 3/4 m = 27/4 m

Starting from 2nd seedling:

9/20 * x = 27/4

Where x = the number of times 9/20 to reach the last seedling.

x = 15

So, from 2nd seedling we need to move 15 positions to get a distances of 27/4.

Moving from 2 to 17, we get 17 as the last seedling.

So, the total number of seedlings = 17

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Last Update: Tue, 15 Nov 22