To find the total number of flowers in the shipment, let’s denote the ratio of red, blue, and white flowers as \( r : b : w \).
Given that there are 60 white flowers, we can express the number of white flowers (\( w \)) in terms of the ratio:
\[ w = 60 \]
From the ratio \( r : b : w \), if we let the ratio be represented in terms of a common variable \( k \), we can write:
\[ r = rk, \quad b = bk, \quad w = wk \]
Substituting the number of white flowers, we have:
\[ w = 60 \implies wk = 60 \]
To find \( k \), we need to know \( w \) in the ratio.
Now, rearranging gives:
\[ k = \frac{60}{w} \]
The total number of flowers in the shipment can be calculated as:
\[ \text{Total} = r + b + w = rk + bk + wk \]
Substituting \( wk = 60 \) directly into the total calculation gives:
\[ \text{Total} = rk + bk + 60 \]
To find \( r \) and \( b \) we need to use the provided ratio and calculate \( r \) and \( b \) accordingly.
Let’s denote the ratio as follows:
- Assume \( r : b : w = a : b : 1 \) (a simplified form, where we normalize \( w \) to 1).
- Then \( w = 60 \implies k = 60 \) (indicating there are 60 instances of '1' in the ratio).
- Therefore, \( r = a \times 60 \) and \( b = b \times 60 \).
Thus, our flowers become:
\[ \text{Total} = (a \cdot 60) + (b \cdot 60) + 60 = 60(a + b + 1) \]
The total number of flowers thus depends on the sum of \( a + b + 1 \).
Please provide the specific ratio of red to blue to white flowers you would have mentioned earlier, and then we can calculate \( a + b + 1 \) directly.
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