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Question
a math teacher decided to give a second quiz over the same material as the first quiz. to encourage students to show improvement, he announced that he would calculate the combined quiz score by starting with the first quiz score and adding 3/4 of the increase in score from their first quiz to their second quiz. maria scored 48 points on her first quiz and 68 points on her second quiz. what is her combined quiz score? a 60 b 63 c 77 d 99
Step1: Calculate score increase
The increase in score is calculated by taking 3/4 of the difference between the second - quiz score and the first - quiz score. The first - quiz score is 48 and the second - quiz score is 68. The difference is \(68 - 48=20\). Then, \( \frac{3}{4}\times20 = 15\).
Step2: Calculate combined score
The combined score is the first - quiz score plus the increase. The first - quiz score is 48 and the increase is 15. So the combined score is \(48+15 = 63\).
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B. 63