Question

the ratio of white roses to red roses in a garden is 8:5. check all statements that must be true based on the statement above. if none of the statements is true, check
one of the above\. for every 8 red roses in the garden, there are 5 white roses. there are 8 white roses to every 5 red roses in the garden. there are 5 white roses to every 8 red roses in the garden. for every 8 white roses in the garden, there are 5 red roses. none of the above

Explanation:

1. Analyze the first statement: "For every 8 red roses in the garden, there are 5 white roses." The given ratio is white to red as \(8:5\), so red to white should be \(5:8\), not \(8:5\) for white. So this statement is false.
2. Analyze the second statement: "There are 8 white roses to every 5 red roses in the garden." The given ratio of white to red is \(8:5\), which means for every 5 red roses, there are 8 white roses. This statement is true.
3. Analyze the third statement: "There are 5 white roses to every 8 red roses in the garden." The ratio is white to red \(8:5\), so this is the inverse and false.
4. Analyze the fourth statement: "For every 8 white roses in the garden, there are 5 red roses." Since the ratio of white to red is \(8:5\), for 8 white roses, there are 5 red roses. This statement is true.
5. The "None of the above" option is false as we have true statements.

Answer:

• There are 8 white roses to every 5 red roses in the garden.
• For every 8 white roses in the garden, there are 5 red roses.