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  1. PUTTING AT PEBBLE BEACH
    Yanni was playing golf at Pebble Beach. On
    the first green, she was looking over her putt.
    She started from a point that was exactly
    halfway between her ball and the hole. First
    she walked a distance of 18 yards towards
    and past the hole. Then she turned around
    and walked back a total of 32 yards towards
    and past her ball. Finally she turned around
    again and walked 3 yards to her ball.
    What was the distance between her ball
    and the hole?
    (Note: Everything in this problem takes place
    in one straight line that runs between the ball
    and the hole, and past the ball on one side
    and past the hole on the other side.)
    ​

Verified Answer :

reinhard10158

Step-by-step explanation:

x = starting point exactly halfway between ball and hole.

so, ball to hole = 2x

let's define any distance towards and beyond the hole as positive, and any distance away from the hole in the direction of the ball as negative.

x + 18 - 32 + 3 = ball to hole = 2x

x - 11 = 2x

-11 = x

let's use now the absolute value for the absolute distance :

the point right in the middle between ball and hole = |x| = |-11| = 11 yards from the hole.

so, the distance of ball to hole = |2x| = |-22| = 22 yards.

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