Question

Ben bowled 134 and 213 in his first two games. What must he bowl in his third game to have an average of at least 160

Answer 1

Given that Ben bowled 134 and 213 at his first two games.

Let Ben bowled x in his third game, then the average of his three bowling would be

$A_{\text{bowling}}=\frac{134+213+x}{3}$

If Ben has an average of at least 160, then the value of x is as calculated below:

$\begin{gathered} A_{\text{bowling}}=\frac{134+213+x}{3}\ge160 \\ \frac{347+x}{3}\ge160 \\ \text{cross}-\text{multiply} \\ 347+x\ge160\times3 \\ 347+x\ge480 \\ x\ge480-347 \\ x\ge133 \end{gathered}$

Hence, Ben must bowl at least 133 to have an average of at least 160