Answer:
84 cups of water will leak out after 2 weeks
Step-by-step explanation:
* Lets how many how to change oz to cup
- One cup contains 8 oz
- We can use the ratio to solve this problem
- A hose is leaking water at a rate of 2 oz/h
- We need to find how many cups of water will leak out after 2 weeks
∵ The rate of the water leak out is 2 oz/hr
∵ 1 cup contains 8 oz
∴ 1 oz = [tex]\frac{1}{8}[/tex] cup
∴ 2 oz = 2 × [tex]\frac{1}{8}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex] cup
∴ The rate of the water leak out = [tex]\frac{1}{4}[/tex] cup/h
∵ 1 day = 24 hours
∵ 1 week = 7 days
∴ 1 week = 7 × 24 = 168 hours
∵ The number of hours in 1 week is 168
∴ The number of hours in 2 weeks = 168 × 2 = 336 hours
⇒ cups : hours
⇒ [tex]\frac{1}{4}[/tex] : 1
⇒ x : 336
- By using cross multiplication
∴ x = 336 × [tex]\frac{1}{4}[/tex]
∴ x = 84
- x represents the number of cups of water leak out
84 cups of water will leak out after 2 weeks
