A florist ordered a shipment of red, blue, and white flowers to use for table decorations at a banquet.

The ratio of red : blue : white flowers in the shipment is
.
There are 60 white flowers in the shipment.
What is the total number of flowers in the shipment?

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1 answer

To find the total number of flowers in the shipment, we need to establish the ratio of red to blue to white flowers, which is currently missing in the problem statement. However, since we know that there are 60 white flowers, we can use the white flowers to help us determine the total.

Assuming the ratio of red to blue to white flowers is expressed as \( r : b : w \), where \( w = 60 \). We can let:

  • \( r = k \cdot r' \)
  • \( b = k \cdot b' \)
  • \( w = k \cdot 60 \)

Given the number of white flowers, we can say \( k = 1 \).

Thus, the number of flowers can be represented as: \[ \text{Total flowers} = r + b + w = k \cdot r' + k \cdot b' + 60 \]

To find \( k \), we substitute for the actual ratio of red, blue, and white flowers: For example, if the ratio is 2 : 3 : 1 (this ratio can be any whole numbers).

We need to find a scenario where:

  1. \( w = k \cdot 1 \)
  2. The ratio is \( r = k \cdot 2\)
  3. The ratio is \( b = k \cdot 3\)

Let’s say that the ratio is \( 2 : 3 : 1 \): So \( k = 60 \).

Then the calculation becomes:

  • Red = \( 2k = 2 \cdot 60 = 120 \)
  • Blue = \( 3k = 3 \cdot 60 = 180 \)
  • White = \( w = 60 \)

Therefore, Total flowers = \( 120 + 180 + 60 = 360 \).

Please provide the specific ratio if it was missing so we can calculate accordingly. Otherwise, it will be assumed. But based on this example, if the ratio were \( 2 : 3 : 1 \), there would be a total of 360 flowers in the shipment.