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 By: eqkt (offline)  Friday, August 02 2013 @ 07:33 AM CDT (Read 1394 times)
eqkt

Hi! Can someone pls help me with this question. Thanks in advance.

1.In a telematch, Ryan and Bala competed with each other to get from the starting line to the finishing line by playing the Scissors-paper-stone game. Each win of the game allows the winner to move forward by 3 steps.The loser moves backward by 1 step. Ryan played 50 times of the game with Bala and crossed the finishing line first. There were 94 steps between the starting line and the finishing line. How many times did Ryan win the game?

Junior

Registered: 03/18/10
Posts: 18

 By: echeewh (offline)  Saturday, August 03 2013 @ 08:33 AM CDT
echeewh

Hi there,

Following is my worked solution:

Given the limited info, we can use the <Assumption> method.

Assume Ryan won all 50 games.

50 × 3 = 150 steps

{ with this assumption, Ryan exceeded the 94 steps to cross the finishing line }

D1 = 150 - 94 = 56

{ to calculate the number of games lost, need to know the difference in steps between 1 win and 1 loss }

D2 = 3 - (-1) = 3 + 1 = 4

D1 ÷ D2 = 56 ÷ 4 = 14

Number of games won = 50 - 14 = 36

Remarks;
Alternatively, <Guess & Check> method can be used.

=========

Do let me know again if this is different from your <Answerkey> or if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: eqkt (offline)  Saturday, August 03 2013 @ 08:37 AM CDT
eqkt