Question

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Solving Ratio Problems:


Roses 7
Carnations 5
Total 12 96

The ratio of roses to carnations is 7 to 5. If 96 flowers are needed for table decorations, ______ roses and ______ carnations are needed.

Answer 1

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:

$7x + 5x = 96 \\ \\ \therefore \: 12x = 96 \\ \\ \therefore \: x = \frac{96}{12} \\ \\ \therefore \: x = 8 \\ \\ \therefore \: 7x = 7\times 8 = 56 \\ \& \: 5x = 5 \times 8 = 40$

Thus,

Number of roses = 56

Number of carnations = 40