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In a certain math class, there is a total of 600 possible points from 4 tests

Economics

In a certain math class, there is a total of 600 possible points from 4 tests. Beth made a 96, 110, and 100 on her first 3 math tests. Each test is worth 150 points. To get at least a C, the total points must be at least 420. What has to be the score on the last test to get at least a C?

(a) If x is her fourth exam score, write the equation for her numerical grade.

(b) Set up and solve an inequality to solve this problem.

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The score on the three tests are 96, 110 and 100. Let x be the grade on her fourth test.

For the sum to be at least 420:

x+96+110+100≥420x+306≥420x≥420−306x≥114x+96+110+100≥420x+306≥420x≥420−306x≥114

Hence, Beth must score at least 114 on her fourth test to get a C.

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