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