A student scores $62$, $71$ and $68$ in three equally weighted tests. Her fourth score is \(x\

Question

A student scores $62$, $71$ and $68$ in three equally weighted tests. Her fourth score is $x$, an integer from $0$ to $100$. She wants her four-test average to be at least $70$ but below $75$. Form a compound inequality. Find all possible integer values of $x$. Explain why $x=99$ is not allowed.

Accepted Answer

(a) $70\leq(201+x)/4<75$; (b) $x=79,80,\ldots,98$; (c) $99$ gives an average of $75$.

Linear Equations and Inequalities

Linear Equations and Inequalities

Solution:

Solution locked