Question

Ben bowled 124 and 200 in his first two games. What must he bowl in his third game to have an average of at least 170? Ben must bowl at least least 170 in his third game in order to have an average of at W .Enter your answer in the answer box and then click Check Answer. All parts showing Clear All

Answer 1

`\begin{gathered} \text{The correct equation will be given as } \\ \frac{124\text{ + 200 + x}}{3}\text{ }\ge\text{ 170} \\ \text{That is 124 + 200 + x (which is the unknown number he must bowl)} \\ \text{divided by 3 must give us 170 or more. } \end{gathered}`
`\begin{gathered} \frac{324\text{ + x}}{3}\text{ }\ge\text{ }(170)/(1) \\ \\ \text{Cross multiplying, we have } \\ 324\text{ + x }\ge\text{ 170 x 3} \end{gathered}`
`\begin{gathered} 324\text{ + x }\ge\text{ 510} \\ x\text{ }\ge\text{ 510 - 324 } \\ x\text{ }\ge\text{ 186 } \end{gathered}`

Therefore, Ben must bowl 186 or higher to have an average of at least 170