A community garden contains five types of plants. Two of the types are flowers: roses and daisies.The other three types are vegetable plants: cucumbers, bell peppers, and green beans.

Question

Plants in the Community Garden
Plant
Number
Roses
2
Daisies
4
Cucumbers
6
Bell Peppers
5
Green Beans
7

Which relationship does the ratio 6:18 represent?
Flowers : Vegetable Plants
Vegetable Plants : Flowers
Cucumber Plants : Total Plants
Total Plants : Cucumber Plants

Answer 1

To determine which relationship the ratio \( 6:18 \) represents in the context of the community garden, we first need to interpret the numbers involved in the ratio.

From the provided data:

• The number of cucumbers is \( 6 \).
• The total number of plants (adding all the plants together) is: \[ 2 \text{ (roses)} + 4 \text{ (daisies)} + 6 \text{ (cucumbers)} + 5 \text{ (bell peppers)} + 7 \text{ (green beans)} = 24 \text{ (total plants)} \]

Now let’s examine the potential relationships for the ratio \( 6:18 \).

1. Flowers : Vegetable Plants

   • Number of Flowers = \( 2 + 4 = 6 \)
   • Number of Vegetable Plants = \( 6 + 5 + 7 = 18 \)
   • This gives a ratio of \( 6:18 \).

2. Vegetable Plants : Flowers

   • Number of Vegetable Plants = \( 18 \)
   • Number of Flowers = \( 6 \)
   • The ratio would be \( 18:6 \).

3. Cucumber Plants : Total Plants

   • Number of Cucumber Plants = \( 6 \)
   • Total Plants = \( 24 \)
   • The ratio would be \( 6:24 \) (not \( 6:18 \)).

4. Total Plants : Cucumber Plants

   • Total Plants = \( 24 \)
   • Number of Cucumber Plants = \( 6 \)
   • The ratio would be \( 24:6 \) (not \( 6:18 \)).

Thus, the ratio \( 6:18 \) corresponds to the relationship:

Flowers : Vegetable Plants.