# Difference between revisions of "2011 AMC 10B Problems/Problem 2"

(Created page with 'Josanna's test scores to date are 90, 80, 70, 60, and 85. Her goal is to raise her test average at least 3 points with her next test. What is the minimum test score she would nee…') |
Epicfailiure (talk | contribs) |
||

Line 1: | Line 1: | ||

+ | ==Problem== | ||

+ | |||

Josanna's test scores to date are 90, 80, 70, 60, and 85. Her goal is to raise her test average at least 3 points with her next test. What is the minimum test score she would need to accomplish this goal? | Josanna's test scores to date are 90, 80, 70, 60, and 85. Her goal is to raise her test average at least 3 points with her next test. What is the minimum test score she would need to accomplish this goal? | ||

(A) 80 (B) 82 (C) 85 (D) 90 (E) 95 | (A) 80 (B) 82 (C) 85 (D) 90 (E) 95 | ||

+ | |||

+ | |||

+ | ==Solution== | ||

+ | |||

+ | The average of her current scores is 77. To raise it 3 points, she needs an average of 80, and so after her 6 tests, a sum of 480. Her current sum is 385, so she needs a 480 - 385 = 95 (E). |

## Revision as of 19:28, 25 February 2011

## Problem

Josanna's test scores to date are 90, 80, 70, 60, and 85. Her goal is to raise her test average at least 3 points with her next test. What is the minimum test score she would need to accomplish this goal?

(A) 80 (B) 82 (C) 85 (D) 90 (E) 95

## Solution

The average of her current scores is 77. To raise it 3 points, she needs an average of 80, and so after her 6 tests, a sum of 480. Her current sum is 385, so she needs a 480 - 385 = 95 (E).