Which ratio forms a proportion with the following ratio?
Six apples for every five oranges.
Responses
A Twenty-four apples for every fifteen oranges.Twenty-four apples for every fifteen oranges.
B Thirty-five apples for every forty-two oranges.Thirty-five apples for every forty-two oranges.
C Forty-two apples for every thirty-five oranges.Forty-two apples for every thirty-five oranges.
D Thirty-six apples for every twenty-five oranges.
The ratio "Six apples for every five oranges" can be represented as 6:5. To form a proportion, the ratio must have the same value when simplified.
In ratio form, 6:5 can be written as 6/5.
To determine which ratio forms a proportion with 6/5, we can compare the simplified forms of each ratio:
A. Twenty-four apples for every fifteen oranges can be written as 24/15, which simplifies to 8/5.
B. Thirty-five apples for every forty-two oranges can be written as 35/42, which simplifies to 5/6.
C. Forty-two apples for every thirty-five oranges can be written as 42/35, which simplifies to 6/5.
D. Thirty-six apples for every twenty-five oranges can be written as 36/25.
From these options, only option C has a ratio (6/5) that is equal to the given ratio (6:5). Therefore, the correct answer is C. Forty-two apples for every thirty-five oranges.