In a basketball game, Albert made 11 out of 15 free throws and Jake made 10 out of 13 free throws. Who had the greater ratio of free throws attempted? Explain your reasoning.
11/15 = .73
10/13 = .77 better
To determine who had the greater ratio of free throws attempted, we need to compare the number of free throws attempted by each player.
Albert attempted 15 free throws, while Jake attempted 13 free throws.
To find the ratio of free throws attempted for each player, we divide the number of made free throws by the number of attempted free throws:
For Albert: 11 made free throws / 15 attempted free throws = 11/15
For Jake: 10 made free throws / 13 attempted free throws = 10/13
To compare the ratios, we can compare the fractions by converting them to decimals or finding the greatest common divisor to simplify the fractions. Since we are only comparing the ratios, we can compare the fractions directly.
Comparing the ratios, we can see that Albert's ratio is 11/15, while Jake's ratio is 10/13.
To determine who has the greater ratio of free throws attempted, we compare the numerator (number of made free throws) of each fraction.
Since 11 is greater than 10, Albert had the greater ratio of free throws attempted.
To determine who had the greater ratio of free throws attempted, we need to compare the number of free throws attempted by both Albert and Jake.
To do this, we first find the ratio of free throws made to free throws attempted for each player.
For Albert:
The number of free throws made by Albert is given as 11, while the total number of free throws attempted is 15. So the ratio of free throws made to free throws attempted for Albert is 11/15.
For Jake:
The number of free throws made by Jake is given as 10, while the total number of free throws attempted is 13. So the ratio of free throws made to free throws attempted for Jake is 10/13.
Now, we compare the ratios. To compare fractions, we can cross-multiply and see which value is greater.
For Albert:
11 × 13 = 143
For Jake:
10 × 15 = 150
Since 150 is greater than 143, it means that Jake had a greater ratio of free throws attempted.
In conclusion, Jake had the greater ratio of free throws attempted compared to Albert.