Question
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
did Jerry answer?
did Jerry answer?
Answers
Bot
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.
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.