Chapter 11, Problem 3SAP

To determine

To find: the correct option for the given condition.

Answer to Problem 3SAP

The option C is correct.

Explanation of Solution

Given information:

The condition is given as “Brad tried to calculate the average of his 5 test scores. He mistakenly divided the correct total ( $T$ ) of his scores by 6. The result was 14 less than what it should have been”.

The options are given by,

A $5T+14=6T$

B $\frac{T}{6}=\frac{(T-14)}{5}$

C $\frac{T}{6}-14=\frac{T}{5}$

D $\frac{(T-14)}{5}=\frac{T}{5}$

Consider the condition.

Brad tried to calculate the average of his 5 test scores. He mistakenly divided the correct total ( $T$ ) of his scores by 6. The result was 14 less than what it should have been.

When brad divides total by 6. Then, the expression should be,

  $\begin{array}{c}\frac{T}{6}=x+14\\ \frac{T}{6}-14=x\end{array}$

Here x is the average number.

When brad divides total by 5. Then, the expression should be,

  $\frac{T}{5}=x$

Substitute $\frac{T}{5}=x$ in the equation $\frac{T}{6}-14=x$ to get the original expression.

  $\frac{T}{6}-14=\frac{T}{5}$

Therefore, the option C is correct.