Question

Question 5 of 10An ice cream shop's goal is to sell a mean of 45 ice cream cones per day. Inone week, it sold the following numbers of ice cream cones each day.54, 45, 33, 39, 48, 40, 21How many more ice cream cones would it have had to sell during the week tomeet its goal?O A 25OB. 35O c. 5SUBMITD. 15

Answer 1

The mean is the sum of all values divided by the number of values.

So, the mean of the sales is:

$\frac{54+45+33+39+48+40+21}{7}=\frac{280}{7}=40$

In order for the mean to be 45, x more ice creams have to be sell:

$\begin{gathered} \frac{54,45,33,39,48,40,21+x}{7}=45 \\ \frac{280+x}{7}=45 \end{gathered}$

Multiplying both sides by 8:

$\begin{gathered} \frac{280+x}{7}*7=45*7 \\ 280+x=315 \\ \end{gathered}$

Subtracting 280 from both sides:

$\begin{gathered} 280+x-280=315-280 \\ x=35 \end{gathered}$

Answer: 35.