Question

In a flower bouquet, $\frac{13}{30}$ of the flowers were roses, $\frac{2}{5}$ of the flowers were orchids and the remaining were gladioli. If the number of gladiola flowers were 7, how many flowers were there in the bouquet?

Answer 1

Let the total flowers be x
Roses =$\frac{13}{30}x$
Orchids=$\frac{2}{5}x$
Gladioli =$x-\frac{13}{30}x-\frac{2}{5}x$
Gladioli =$\frac{30x-13x-12x}{30}=\frac{\text{/}5}{\text{/}30x}x=\frac{1}{6}x$
Gladioli =f numbers [Given in the question]
$f=\frac{1}{6}x\Rightarrow x=42$
Hence total number of flowers =42
$\begin{array}{c}Roses=\frac{13}{30}x\\ Orchids=\frac{2}{5}x\end{array}\}\to$ substitute the value of x and find the value.