Question

kallie makes bouquets of flowers so that the ratios are 4 carnations to 2 sunflowers to 3 lilies. kallie makes a bouquet of 72 flowers using only these flowers. How many of each type of flower does she use?

Answer 1

To determine the number of each flower type in the bouquets, the ratio of 4 carnations, 2 sunflowers, and 3 lilies to the total of 72 flowers is used; resulting in 32 carnations, 16 sunflowers, and 24 lilies.

Step-by-step explanation:

To determine the number of each type of flower in Kallie’s bouquets, we need to consider the ratio provided and the total number of flowers in the bouquet. The ratio given for carnations, sunflowers, and lilies is 4:2:3, which means for every 4 carnations, there are 2 sunflowers and 3 lilies. To find the total ratio units, add the ratio numbers together (4+2+3 = 9 ratio units). The total number of flowers is 72, so each ratio unit represents 72 ÷ 9 = 8 flowers.

Therefore, we can calculate the number of each flower as follows:

• Carnations = 4 ratio units × 8 flowers/unit = 32 carnations
• Sunflowers = 2 ratio units × 8 flowers/unit = 16 sunflowers
• Lilies = 3 ratio units × 8 flowers/unit = 24 lilies

So Kallie uses 32 carnations, 16 sunflowers, and 24 lilies in her bouquet of 72 flowers.

Answer 2

Step One
Find the total of the ratios.

There are 72 flowers all together.
The total of the ratios is 2 + 3 + 4 = 9

Step Two
Find the number of carnations.
The number of carnations to the total is 4/9

Carnations = (4/9) * 72 = 288/9 = 32

There are 32 carnations in the bouquet.

Step Three
Find the number of sunflowers.
Sunflower ratio =2/9

Sunflowers = (2/9) = 16 See if you can get that.

Step Four
Find the number of Lilies.

Lily ratio = 3/9 = 1/3

Number of Lilies = 1/3 * 72 = 24

Check
24 + 16 +32 =? 72
The total checks.