Question

1. the teacher sets a goal for a class average of 88 on a test. out of a class of 12 students, six students scored 88 and five students scored 86. what must the remaining score be in order to reach the goal? can it be done?

Explanation:

Step1: Calculate total desired score

The class has 12 students and the desired average is 88. So total desired score is \(12\times88 = 1056\).

Step2: Calculate total score of known students

Six students scored 88: \(6\times88 = 528\). Five students scored 86: \(5\times86 = 430\). Total of known scores: \(528 + 430 = 958\).

Step3: Find the remaining score

Let the remaining score be \(x\). Then \(958 + x = 1056\). Solving for \(x\), we get \(x = 1056 - 958 = 98\). Since a test score of 98 is possible (assuming maximum score is at least 98), it can be done.

Answer:

The remaining score must be 98, and it can be done.