Question

If $\dfrac{3}{4}$ of the 28 flowers were roses. How many roses were there?

Answer 1

Hint: Use the fact the value of ‘x’ of ‘y’ is equal to xy. To calculate the number of roses, multiply the given value of fraction with the total number of flowers. Multiply the terms and simplify the expression to get the exact number of roses.

Complete step-by-step answer:
We know that $\dfrac{3}{4}$ of the total flowers are roses. We have to calculate the number of roses.
We observe that this is a question about a fraction of a whole number. A fraction represents a part of a whole, or more generally, any number of equal parts.
We know that to calculate the value of ‘x’ of ‘y’ we evaluate the value of xy.
Thus, substituting $x=\dfrac{3}{4},y=28$ in the above expression, the value of $\dfrac{3}{4}$ of 28 is $=\dfrac{3}{4}\times 28$.
Dividing 28 by 4, we have $\dfrac{28}{4}=7$.
Thus, $\dfrac{3}{4}$ of 28 is $=\dfrac{3}{4}\times 28=3\times 7$.
Multiplying 3 and 7, we have $3\times 7=21$.
Thus, the value of $\dfrac{3}{4}$ of 28 is 21.
Hence, the number of roses is 21.

Note: We can’t solve this question in any other way. We can check if the calculated value of roses is correct or not by dividing the number of roses with the total number of flowers. Simplify the fraction by cancelling out the like terms and check if it is equal to the fraction given in the question or not. If both the fractions are equal, then the calculated number of roses is correct. We can also find the remaining number of flowers by subtracting the number of roses from the total number of flowers.