Question

Kristopher gets the ball in the basket in the ratio of 4:5. If he missed the basket 3 times, how many times did he get the ball into the basket?

Answer 1

To determine the number of times Kristopher got the ball into the basket, we set up a proportion using the given ratio of made to missed shots (4:5) and solved for the number of made shots, resulting in 2 made shots.

Step-by-step explanation:

Kristopher has made and missed shots in the ratio of 4:5. This ratio means for every 4 shots he makes, he misses 5. If Kristopher has missed 3 times, we can set up a proportion to find out how many times he made the basket.

1. Let's call the number of shots made 'x'.
2. Set up the ratio as a proportion: =frac{4}{5} = =frac{x}{3}.
3. Cross-multiply to solve for x: 4 * 3 = 5 * x.
4. So, 12 = 5x.
5. Divide both sides by 5 to solve for x: x = =frac{12}{5}.
6. The result is x = 2.4. However, since you cannot make a fraction of a shot, we round down to the nearest whole number. So, Kristopher made the ball into the basket 2 times.