Question

Joshua is playing a trivia game. He scored a total of 1,250 points. He received 50 points for each correct question and lost 25 points for each incorrect answer. There is a total of 40 questions. How many questions did Joshua answer correctly? How many did he answer incorrectly?

Answer 1

Joshua answered 16 questions correctly and 24 questions incorrectly.

Step-by-step explanation:

To find the number of questions Joshua answered correctly, we can set up an equation:

40x + 25(40-x) = 1250

Simplifying this equation, we get:

40x + 1000 - 25x = 1250

15x = 250

x = 16.67

Since we can't have a fraction of a question, we can round down to the nearest whole number. Therefore, Joshua answered 16 questions correctly.

To find the number of questions Joshua answered incorrectly, we subtract the number of questions answered correctly from the total number of questions:

40 - 16 = 24.

Joshua answered 16 questions correctly and 24 questions incorrectly.

Answer 2

25 correct answers

15 incorrect answers

Step-by-step explanation:

1,250/ 50 = 25 correct answers

40 x 50 = 2,000 (his total points if he got 40/40)

so he got 25/40