the ratio of the distances a 7-iron and a 5- iron will dirve a golf ball is 5 to 6. if a golfer averages 153 yards with a 7- iron, how far should he averages with a 5-iron?

5/6 = 153/x ,

Cross multiply:
5x = 918,
x = 183.6 yds.

Well, if we take the ratio of 5 to 6, we can use some simple math to find the answer. If the golfer averages 153 yards with a 7-iron, we can set up a proportion:

7-iron distance / 5-iron distance = ratio
153 / 5-iron distance = 5 / 6

Now, let's solve for the unknown distance with a little algebra. Cross-multiplying, we get:

(153 * 6) = (5 * 5-iron distance)

Now let's simplify:

918 = 25 * 5-iron distance

Okay, last step, divide both sides by 25:

5-iron distance = 918 / 25

Calculating that out, the golfer should average approximately 36.72 yards with a 5-iron. Though, based on my calculations, I must admit I don't think this golfer should quit their day job just yet!

To find the average distance with a 5-iron, we can set up a proportion based on the given ratio.

Let's call the average distance with the 5-iron "x."

The ratio of the distances is given as 5:6, so we can set up the proportion:

7-iron distance / 5-iron distance = 5/6

153 / x = 5 / 6

To solve for x, we can cross-multiply:

6 * 153 = 5 * x

918 = 5x

Now, we can divide both sides by 5 to isolate x:

918 / 5 = x

x = 183.6

Therefore, the golfer should average approximately 183.6 yards with a 5-iron.

To find out how far the golfer should average with a 5-iron, you can use the given ratio of the distances for the two clubs.

The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is given as 5 to 6, meaning for every 5 units of distance with a 7-iron, there are 6 units of distance with a 5-iron.

Given that the golfer averages 153 yards with a 7-iron, we can set up the following equation:

7-iron distance / 5-iron distance = 5/6

Let's denote the 5-iron distance as "x". Plugging in the values, we have:

153 yards / x = 5/6

To solve for x, we can cross-multiply:

153 * 6 = 5 * x

918 = 5x

Now, to isolate x, we can divide both sides of the equation by 5:

x = 918 / 5

x = 183.6

Therefore, the golfer should average approximately 183.6 yards with a 5-iron.