Chapter 11.1, Problem 63HP

To determine

Choose the correct option.

Answer to Problem 63HP

Correct Option:$\text{H:}\frac{\text{T}}{7}+12=\frac{\text{T}}{6}$

Explanation of Solution

Given:

Donna wanted to determine the average of her six test scores. She added the scores correctly to get T, but divided by 7 instead of 6. Her average was 12 less than the actual average. Which equation could be used to determine the value of T?

4 options are given: $\text{F:}6\text{T}+12=7\text{T};\text{G:}\frac{\text{T}}{7}=\frac{\text{T}-12}{6};\text{H:}\frac{\text{T}}{7}+12=\frac{\text{T}}{6};\text{J:}\frac{\text{T}}{6}=\frac{\text{T}-12}{7}$

Concept Used:

As Donna divided by 7 instead of 6 and her average was 12 less than the actual average.

Correct average = Average calculated divided by 7 + 12 must be equal to the average calculated divided by 6.

Thus, the correct option: $\text{H:}\frac{\text{T}}{7}+12=\frac{\text{T}}{6}$