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Question Find the ratio of roses to daisies and daisies to all flowers in a vase with 5 roses and 11 total flowers.
(a) Ratio of roses to daisies: 511−5\frac{5}{11-5} (b) Ratio of daisies to all flowers: 11−511\frac{11-5}{11}

Studdy Solution

STEP 1

Assumptions
1. There are 5 roses in the vase.
2. There are 11 flowers in total in the vase.
3. The rest of the flowers, which are not roses, are daisies.
4. The ratio of roses to daisies is the number of roses divided by the number of daisies.
5. The ratio of daisies to all flowers is the number of daisies divided by the total number of flowers.

STEP 2

First, we need to find out how many daisies are there in the vase. Since we know the total number of flowers and the number of roses, we can subtract the number of roses from the total number of flowers to find the number of daisies.
Number of daisies=Total number of flowers−Number of rosesNumber\, of\, daisies = Total\, number\, of\, flowers - Number\, of\, roses

STEP 3

Now, plug in the given values for the total number of flowers and the number of roses to calculate the number of daisies.
Number of daisies=11−5Number\, of\, daisies = 11 - 5

STEP 4

Calculate the number of daisies.
Number of daisies=11−5=6Number\, of\, daisies = 11 - 5 = 6

STEP 5

Now we can find the ratio of roses to daisies. The ratio is the number of roses divided by the number of daisies.
Ratio of roses to daisies=Number of roses:Number of daisiesRatio\, of\, roses\, to\, daisies = Number\, of\, roses : Number\, of\, daisies

STEP 6

Plug in the values for the number of roses and the number of daisies to calculate the ratio of roses to daisies.
Ratio of roses to daisies=5:6Ratio\, of\, roses\, to\, daisies = 5 : 6

STEP 7

For part (b), we need to find the ratio of daisies to all flowers in the vase. The ratio is the number of daisies divided by the total number of flowers.
Ratio of daisies to all flowers=Number of daisies:Total number of flowersRatio\, of\, daisies\, to\, all\, flowers = Number\, of\, daisies : Total\, number\, of\, flowers

STEP 8

Plug in the values for the number of daisies and the total number of flowers to calculate the ratio of daisies to all flowers.
Ratio of daisies to all flowers=6:11Ratio\, of\, daisies\, to\, all\, flowers = 6 : 11
The solution to the problem is: (a) The ratio of roses to daisies is 5:6. (b) The ratio of daisies to all flowers in the vase is 6:11.

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