Question

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 3:1:2.

There are 60 white flowers in the shipment.

What is the total number of flowers in the shipment?

Type your response in the box below.

Math Equation Response Question

$$This field supports both keypad and keyboard input. Use the keyboard to access and interact with the on-screen math keypad, which accepts LaTeX markup. Use the down arrow key to open the keypad and navigate its buttons. Use the escape key to close the keypad and return to the input field.

 flowers

Answer 1

The ratio of red to blue to white flowers is 3:1:2.

Let the number of red flowers be \(3x\), the number of blue flowers be \(x\), and the number of white flowers be \(2x\).

We know that the number of white flowers is 60. Therefore, we can set up the equation:

\[ 2x = 60 \]

To find \(x\), we solve for \(x\):

\[ x = \frac{60}{2} = 30 \]

Now, we can find the number of red and blue flowers:

• Red flowers: \[ 3x = 3 \times 30 = 90 \]

• Blue flowers: \[ x = 30 \]

Now, let's calculate the total number of flowers:

\[ \text{Total} = \text{Red} + \text{Blue} + \text{White} = 90 + 30 + 60 = 180 \]

Thus, the total number of flowers in the shipment is:

\[ \boxed{180} \]