harrison is playing a board game that has a path of 100 space. after his first turn,he is 1/5 of the way along the spaces. on his second turn, hemoves1/4 fewer spaces than he moved on his first turn. on his third turn, he moves 1 1/4 times as many spaces than he moved on his first turn. what space is he on after three turns.

His second turn he moves 1/4 fewer spaces. This means he moves 1-1/4 = 3/4 of the spaces he did in the first turn. 3/4 of 20 = 3/4(20) = 3/4(20/1) = 60/4 = 15 spaces.

His third turn he moves 1 1/4 times the number of spaces he did the first turn.

1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4; 5/4 of 20 = 5/4(20) = 5/4(20/1) = 100/4 = 25 spaces.

Altogether he has moved 20+15+25 = 60 spaces.

andromache andromache · Answer 2 · 2022-01-07T13:32:26+01:00

The Space after three turns is 60.

The calculation is as follows;

The board is 100 spaces.

His first turn he moves 1/5 of the spaces

So, 1/5 of 10 = 20 spaces.

Now

His second turn he moves 1/4 fewer spaces.

This means he moves 1-1/4 = 3/4 of the spaces he did in the first turn.

Now 3/4 of 20 = 15 spaces.

Now

His third turn he moves 1 1/4 times the number of spaces he did the first turn.

= 1 1/4

= 1 + 1/4

= 4/4 + 1/4

= 5/4;

Now

5/4 of 20

= 25 spaces.

So, overall it should be

= 20+15+25

= 60 spaces.

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