Step-by-step explanation:
Let the common multiplier of the given ratios be x.
Therefore, no. of roses = 7x & no. of carnations = 5x
According to the given information:
[tex]7x + 5x = 96 \\ \\ \therefore \: 12x = 96 \\ \\ \therefore \: x = \frac{96}{12} \\ \\ \therefore \: x = 8 \\ \\ \therefore \: 7x = 7\times 8 = 56 \\ \& \: 5x = 5 \times 8 = 40 \\ [/tex]
Thus,
Number of roses = 56
Number of carnations = 40
