Chapter 7, Problem 17MCQ

To determine

To find: The number of roses and carnations.

Answer to Problem 17MCQ

In the $40$ flowers, the number of roses are $18$ , and the number of carnations are $6$ .

Explanation of Solution

Given information: A bouquet of $40$ flowers is made up of roses, carnations, and daisies. The bouquet is $45\%$ roses and $15\%$ carnations. How many of the flowers are roses? Carnations?

Calculation: The total number of flowers is $40$ . Where, roses are $45\%$ and carnations are $15\%$ .

Therefore, it can be represent as,

The roses $=$ $45\%\text{ of }40$

The carnations $=$ $15\%\text{ of }40.$

Percent $(\%)$ means ‘out of $100$ ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Hence, $45\%$ can be written as $\frac{45}{100}$ and $45\%\text{ of }40$ can be written as $\frac{45}{100}\times 40$ .

  $15\%$ can be written as $\frac{15}{100}$ and $15\%\text{ of }40$ can be written as $\frac{15}{100}\times 40$ .

Let, the number of roses is $x$ and the number of carnations is $y$ .

Let’s find the value of $x$ ,

  $\begin{array}{l}x=\frac{45}{100}\times 40\\ x=\frac{45\times 4}{10}\\ x=\frac{9\times 4}{2}\\ x=9\times 2\\ x=18\end{array}$

Let’s find the value of $y$ ,

  $\begin{array}{l}y=\frac{15}{100}\times 40\\ y=\frac{15\times 4}{10}\\ y=\frac{3\times 4}{2}\\ y=3\times 2\\ y=6\end{array}$

Hence, The number of roses are $18$ , and the number of carnations are $6$ .