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.

The correct answer is:

Space 60.

Explanation:

The board is 100 spaces.

His first turn he moves 1/5 of the spaces; 1/5 of 100 = 1/5(100) = 1/5(100/1) = 100/5 = 20 spaces.

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.

explanation:

step-by-step explanation: