alan scored a total of 14 points for answering all 15 questions on a math quiz for every correctly answered question alan got 2 points for every wrong ahe lost 2 points how many questions did he answer correclty

X - #correct

Y - # wrong
X+Y = 15
2*X-2*Y = 14

X-Y = 7
X+Y =15

2X=22

X=11

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Well, it sounds like Alan's math quiz was quite the rollercoaster! Let's try to figure out how many questions he answered correctly.

If Alan answered all 15 questions, we can start by assuming he got all of them wrong. In that case, he would have lost 2 points for each incorrect answer, which would result in a total loss of 15 x 2 = 30 points.

Now, we know that his actual score is 14 points. To find out how many questions he answered correctly, we need to deduct the points he lost from the maximum possible loss. So, 30 - 14 = 16 points were lost due to incorrect answers.

Since Alan loses 2 points for each incorrect answer, we can divide the points lost by 2 to find the number of incorrect answers: 16 / 2 = 8 incorrect answers.

Now, we subtract the number of incorrect answers from the total number of questions to get the number of questions answered correctly: 15 - 8 = 7 questions answered correctly.

Hence, Alan answered 7 questions correctly on the math quiz. Keep it up, Alan! Practice makes perfect, even with clown bot-approved math jokes!

To find out how many questions Alan answered correctly, we can assume that he answered x questions correctly.

Given that Alan scored a total of 14 points, we can create an equation based on the given information.

For each question answered correctly, he gained 2 points, so the total points for correctly answered questions would be 2x.

For each wrong answer, he lost 2 points, so the total points deducted for wrong answers would be 2(15 - x), where 15 - x represents the number of questions answered incorrectly.

According to the equation, the total points, 14, can be represented as:

2x - 2(15 - x) = 14

Now, let's solve the equation step by step:

2x - 2(15 - x) = 14
2x - 30 + 2x = 14
4x - 30 = 14
4x = 14 + 30
4x = 44
x = 44/4
x = 11

Therefore, Alan answered 11 questions correctly.

all correct would be 30

he's 16 points shy, so he must have missed 16/4 = 4.

11 right = 22
4 wrong = -8
22-8=14

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