Answer:
Brandon
Explanation:
GIVEN: Branden and Pete each play running back. Branden carries the ball
times for
yards, and Pete has
carries for
yards.
TO FIND: Who runs farther per carry.
SOLUTION:
Total yards traveled by Brandon
![=550\text{yards}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/iewc8246jdwn82sdbhzk4mmuf8jbu9bbgq.png)
No. of times ball carried by Brandon
![=75\text{ times}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tvk2bih8amch22ydh1dez7dchyz07f6122.png)
Average yards per carry for Brandon
![=\frac{\text{total yards traveled}}{\text{number of times ball carried}}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pt0wjc4jjy4hle2d422v6ceo1dkc122905.png)
![=(550)/(75)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sjyo9wmh9n7xwk869xaem7u63kx90d1ygq.png)
![=(22)/(3)\text{ yards per carry}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x7158tr53y4xwpmk9tx5050ablzt3ob3qy.png)
![=7.33\text{ yards per carry}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6mlm688xnaoxx8gwg6pi2f5necsy7dl5rq.png)
Total yards traveled by Pete
![=380\text{ yards}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xa3y31gxafiii4rufgblskk7tthjrwar46.png)
No. of times ball carried by Pete
![=42\text{ times}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/92luakp5caxxrpgx75b2h31katklnzpbmw.png)
Average yards per carry for Pete
![=\frac{\text{total yards traveled}}{\text{number of times ball carried}}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pt0wjc4jjy4hle2d422v6ceo1dkc122905.png)
![=(380)/(42)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/g2ghxlyxku09p1bhr2vutd8b8pr197heul.png)
≅
![9\text{ yards per carry}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3mwtpi6xx60jbrktmnu2qd6iax2xln8l0x.png)
As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.