Tom and Jerry took a 10-minute Mathematics quiz. They started and ended the quiz at the same time, Tom answered 2 questions more than Jerry for every minute. Together, they answered 58 questions. How many questions

Question

did Jerry answer?

Answer 1

Let's call the number of questions Jerry answered "J" and the number of questions Tom answered "T".

We know from the problem that:
- The quiz was 10 minutes long, so T = J + 2 for each minute.
- Together, they answered 58 questions, so T + J = 58.

We can use the first equation to substitute for T in the second equation:

(J + 2) + J = 58

Simplifying:

2J + 2 = 58

2J = 56

J = 28

So Jerry answered 28 questions.

To check, we can use the first equation to find Tom's number of questions:

T = J + 2 = 30

And indeed, 28 + 30 = 58.