A 1start fraction, 3, divided by, 4, end fraction

Question

4
3
​
-inch candle burns down in 7 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 2one half
2
1
​
-inch candle to burn down?

Answer 1

To solve this problem, we can set up a proportion. Let x represent the time it takes for the 2 1/2-inch candle to burn down.

(3/4) / 7 = (5/2) / x

Cross multiplying, we get:

3/4 * x = 7 * 5/2

3x/4 = 35/2

3x = 140/2

3x = 70

x = 70 / 3

x ≈ 23.33 hours

Therefore, it would take the 2 1/2-inch candle approximately 23.33 hours to burn down.

Answer 2

A 2-inch candle burns down in 8 hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a 3-inch candle to burn down?
Answer
Attempt 1 out of 2

Answer 3

To solve this problem, we can set up a proportion. Let x represent the time it takes for the 3-inch candle to burn down.

(2/8) = (3/x)

Cross multiplying, we get:

2x = 8 * 3

2x = 24

x = 24/2

x = 12

Therefore, it would take the 3-inch candle 12 hours to burn down.