The ratio of the distances a pitching wedge and an 8-iron will drive a golf ball is 4 to 5. If a golfer averages 140 yards with a pitching wedge, how far should she average with an 8-iron?
4/5 = 140/x
Cross multiply and solve for x.
4x = 700
x = 175
Thank you Ms. Sue.
You're welcome, Sam.
To find how far the golfer should average with an 8-iron, we can use the given ratio of 4 to 5. Let's call the distance with an 8-iron "x".
According to the ratio, we can set up the following proportion:
(140 yards)/(distance with a pitching wedge) = 4/5
To solve for "x", we can cross-multiply:
(140 yards) * (5) = (distance with a pitching wedge) * (4)
700 = (distance with a pitching wedge) * 4
Now, we can isolate the distance with a pitching wedge by dividing both sides by 4:
(distance with a pitching wedge) = 700 / 4
(distance with a pitching wedge) = 175 yards
Since the golfer averages 140 yards with a pitching wedge, we know that:
(distance with a pitching wedge) = 140 yards
Now, we can substitute this value into the equation:
175 yards = 140 yards * (5/4)
To find "x" (the distance with an 8-iron), we can divide both sides by (5/4):
(x) = 175 yards / (5/4)
Simplifying the expression on the right-hand side:
(x) = 175 yards * (4/5)
(x) = 140 yards
Therefore, the golfer should average 140 yards with an 8-iron.