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}}=(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}}=(134+213+x)/(3)\ge160 \\ (347+x)/(3)\ge160 \\ \text{cross}-\text{multiply} \\ 347+x\ge160*3 \\ 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