Question

1. your scores on your first two games of bowling were 134 and 115. what score do you need on your third game to get an average score of 125?

Explanation:

Step1: Use the average formula

The formula for the average of three numbers \(a\), \(b\), \(c\) is \(\text{Average}=\frac{a + b+ c}{3}\). Let the score of the third game be \(x\). We know the average is \(125\), \(a = 134\), \(b = 115\). So, \(125=\frac{134 + 115+x}{3}\).

Step2: Solve the equation for \(x\)

Multiply both sides of the equation \(125=\frac{134 + 115+x}{3}\) by \(3\): \(125\times3=134 + 115+x\).
Calculate \(125\times3 = 375\) and \(134+115 = 249\). The equation becomes \(375=249+x\).
Subtract \(249\) from both sides: \(x=375 - 249\).
Calculate \(375-249 = 126\).

Answer:

\(126\)