Chapter 7.5, Problem 7CYU

To determine

ToDetermineThe question asked in the below problem sum:

Last year, Kimberly sold $95$ boxes of cookies. This year she wants to sell $20\%$ more boxes than she sold last year. How many boxes will Kimberly have to sell this year to reach her goal?

Answer to Problem 7CYU

The number of boxes that Kimberly have to sell this year to reach her goal are $114$ boxes.

Explanation of Solution

Given:

Number of boxes sold by Kimberly last year are $95$ boxes of cookies.

This year she wants to sell $20\%$ more boxes than she sold last year.

Concept Used:

$x\%$ of something say $y$ is given by

  $\left(x\%\right)\left(y\right)=\left(\frac{x}{100}\right)\left(y\right)$

Calculation:

Number of boxes sold by Kimberly last year are $95$ boxes of cookies.

This year she wants to sell $20\%$ more boxes than she sold last year.

Number of extra boxes that Kimberly wants to sell this year are given by

  $\begin{array}{c}\left(20\%\right)\left(95\right)=\left(\frac{20}{100}\right)\left(95\right)\\ =\left(\frac{1}{5}\right)\left(95\right)\\ =\frac{95}{5}\\ =19\end{array}$

Total number of boxes that Kimberly have to sell this year to reach her goal are $\begin{array}{c}=95+19\\ =114\end{array}$ boxes.

Conclusion:

The number of boxes that Kimberly have to sell this year to reach her goal are $114$ boxes.