To find the total number of flowers in the shipment, we begin by using the given ratio of red : blue : white flowers, which is 3 : 1 : 2. We will denote the number of red flowers as \(3x\), the number of blue flowers as \(1x\), and the number of white flowers as \(2x\).
We know from the problem that there are 60 white flowers. This gives us the equation:
\[ 2x = 60 \]
To solve for \(x\), we divide both sides by 2:
\[ x = \frac{60}{2} = 30 \]
Now that we have the value of \(x\), we can calculate the number of each color of flowers:
- Red flowers: \(3x = 3 \times 30 = 90\)
- Blue flowers: \(1x = 1 \times 30 = 30\)
- White flowers: \(2x = 2 \times 30 = 60\)
Next, we find the total number of flowers in the shipment by adding the number of red, blue, and white flowers together:
\[ \text{Total flowers} = \text{Red} + \text{Blue} + \text{White} = 90 + 30 + 60 \]
Calculating this gives:
\[ \text{Total flowers} = 90 + 30 + 60 = 180 \]
Thus, the total number of flowers in the shipment is \(\boxed{180}\).
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