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The class average on a reading test was 26 out of 40 possible points. The 22 girls in the class scored 560 points. How many total points did the 10 boys score?

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Final answer:

To find the total points scored by the boys, subtract the points scored by the girls from the class total and divide by the number of boys.

Step-by-step explanation:

To find out how many total points the 10 boys scored, we need to subtract the points scored by the girls from the class total. Since the class average is 26 out of 40, it means that the total points scored by the class is 26 multiplied by the number of students. There are 22 girls in the class, so the total points scored by the class is 26 multiplied by 40. We can then subtract the points scored by the girls (560) from the total points and divide by 10 to find the average score of the boys.

Total points scored by the class = 26 * 40 = 1040

Total points scored by the boys = (Total points scored by the class - Points scored by the girls) / Number of boys = (1040 - 560) / 10 = 48

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