Question

In college Patrick Mahomes had a ratio of 3 to 1, which represented his touchdown passes to interceptions. If by his senior year he had thrown 192 combined touchdown passes and interceptions, how many touchdowns and interceptions had he thrown?

Answer 1

Patrick Mahomes threw 144 touchdowns and 48 interceptions in college.

Step-by-step explanation:

In college, Patrick Mahomes had a ratio of 3 to 1 for his touchdown passes to interceptions. This means that for every 3 touchdown passes, he had 1 interception.

If we let 'x' represent the number of touchdown passes, then 'x/3' would represent the number of interceptions.

According to the question, the combined total of touchdown passes and interceptions is 192. So, we have the equation: x + x/3 = 192.

To solve this equation, we can multiply through by 3 to get rid of the fraction: 3x + x = 576. Combining like terms, we have 4x = 576. Dividing by 4, we find that x = 144.

Therefore, Patrick Mahomes threw 144 touchdown passes and 48 interceptions during his college career.