the avreage of annes saras and julies test score is 72 julie scored 10 and anne scored 10 points higer than sara. what were annes and sara scores?
Please proofread your post. It doesn't make any sense that way it is.
When Julie and Anne scored 10 and 20 each, their scores, along with Sara's can't average to 72.
sara -- x
anne -- x+10
Julie -- 10
(x+x+10+10)/3 = 72
2x = 196
x = 98
sara -- 98
anne -- 108 ????
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I agree with Ms. Sue, this is a flawed question.
When I was teaching, students could not get over 100.
To find the scores of Anne and Sara, we need to consider that the average of Anne, Sara, and Julie's test scores is 72, Julie scored 10, and Anne scored 10 points higher than Sara.
Let's assume Sara's score as "X." Since Anne scored 10 points higher than Sara, Anne's score would be "X + 10."
To calculate the average, we need to add the three scores and divide by 3 since there are three people:
(X + X + 10 + 10) / 3 = 72
Combining like terms:
(2X + 20) / 3 = 72
To solve for X, we can cross-multiply:
2X + 20 = 72 * 3
2X + 20 = 216
Subtract 20 from both sides:
2X = 196
Divide both sides by 2:
X = 98
Now that we have Sara's score as 98, we can substitute it back into the equation to find Anne's score:
Anne's score (X + 10) = 98 + 10 = 108
Therefore, Sara's score is 98 and Anne's score is 108.