Ethan's football team scored a total of 35 separate times this season, with a mix of touchdowns and field goals. Each touchdown is worth 7 points, and each field goal is worth 3 points. If the team scored a total of
193 points this season, how many touchdowns and field goals did they score?

9514 1404 393

22 touchdowns13 field goals

Step-by-step explanation:

Let t represent the number of touchdowns scored. Then 35-t is the number of field goals, and the total score is ...

  7t +3(35 -t) = 193

  4t = 88 . . . . . . . . . . simplify, subtract 105

  t = 22

  35 -t = 13

The team scored 22 touchdowns and 13 field goals.

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )