Question

There are seven cats in my neighborhood, with an average of $41$ whiskers each. If one of the cats has $17$ whiskers, how many whiskers does each of the other cats have on average?

Answer 1

Answer:

Each of the other cats have 45 whiskers on average.

Step-by-step explanation:

Let x represent the average number of whisker of each cat.

We have been given that there are 7 cats in my neighborhood, with an average of 41 whiskers each.

The total number of whiskers of six cats would be $6x$.

Since one of the cats has 17 whiskers, so the total number of whiskers of 7 cats would be $6x+17$

We will use average formula to solve our given problem.

$\text{Average}=\frac{\text{Sum of data points}}{\text{Number of data points}}$

Upon substituting our given values, we will get:

$41=\frac{6x+17}{7}$

Let us solve for x.

$41*7=\frac{6x+17}{7}*7$

$287=6x+17$

$287-17=6x+17-17$

$270=6x$

Switch sides:

$6x=270$

$\frac{6x}{6}=\frac{270}{6}$

$x=45$

Therefore, the each of the other cats have 45 whiskers on average.