Question

Ben bowled 128 and 195 in his first two games what must he bowl in his their game to have an average of at least 160 ?Ben must bowl at least ? In this third game to have an average of at least 160

Answer 1

Let x be the score that Ben must obtain in his third game in order to average at least 160, then we can set the following inequality:

$\frac{128+195+x}{3}\ge160.$

Multiplying the above inequality by 3 we get:

$\begin{gathered} \frac{128+195+x}{3}\cdot3\ge160\cdot3, \\ 128+195+x\ge480. \end{gathered}$

Adding like terms we get:

$323+x\ge480.$

Subtracting 323 we get:

$\begin{gathered} 323+x-323\ge480-323, \\ x\ge157. \end{gathered}$

Answer: Ben must bowl at least 157 in his third game to have an average of at least 160.