Vincent makes salad dressing by mixing 2 cups of olive oil with every cup of vinegar.
Which of the following three ratios are equivalent to the ratio of oil to vinegar?
Responses
A.18:6
B.30:15
C.8:4
D.21:4
E.20:10
To find the ratio of oil to vinegar, we divide the amount of oil by the amount of vinegar. The ratio is 2 cups of oil for every 1 cup of vinegar, or 2:1.
To check which ratios are equivalent, we can simplify them:
A. 18:6 simplifies to 3:1, which is not equivalent to 2:1.
B. 30:15 simplifies to 2:1, which is equivalent to 2:1.
C. 8:4 simplifies to 2:1, which is equivalent to 2:1.
D. 21:4 cannot be simplified further, so it is not equivalent to 2:1.
E. 20:10 simplifies to 2:1, which is equivalent to 2:1.
From the given ratios, B, C, and E (30:15, 8:4, and 20:10) are equivalent to the ratio of oil to vinegar. So the correct answer choices are B, C, and E.
Kate played 27 holes of golf and had a total of 42 strokes.
Which rate best represents the relationship between the number of strokes Kate took and the number of holes she played?
Responses
A 3 strokes per hole3 strokes per hole
B holes per strokeImage with alt text: holes per stroke
C 4 strokes per hole4 strokes per hole
D strokes per hole