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Jasmine sleeps for an average of hours each day. If Jasmine sleeps for the amount of time that her cat sleeps each day, which of the following equations can be used to find , the number of hours Jasmine's cat sleeps each day?Choose answer:(A) (B) (C) (D)
Full solution
Q. Jasmine sleeps for an average of hours each day. If Jasmine sleeps for the amount of time that her cat sleeps each day, which of the following equations can be used to find , the number of hours Jasmine's cat sleeps each day?Choose answer:(A) (B) (C) (D)
- Understand Relationship: Understand the relationship between Jasmine's and her cat's sleeping hours.Jasmine sleeps for hours each day, which is one third of the time her cat sleeps. This means that her cat sleeps for three times the amount that Jasmine sleeps.
- Set Up Equation: Set up the equation based on the relationship.If Jasmine sleeps for hours and this is one third of the time her cat sleeps, then we can express the relationship as , where is the number of hours Jasmine's cat sleeps.
- Identify Correct Equation: Identify the correct equation from the given options.We have the equation . Now we need to match this equation with one of the given options.Option (A) is incorrect because it implies that Jasmine's sleeping time is multiplied by , which is not the case.Option (B) is incorrect because it implies that Jasmine's cat sleeps three times as much as hours, which would mean Jasmine sleeps more than her cat.Option (C) is incorrect because it implies that if you subtract one third from the cat's sleeping hours, you get hours, which is not the relationship described.Option (D) is correct because it represents the relationship that Jasmine's sleeping time is one third of her cat's sleeping time.
- Confirm Correct Equation: Confirm the correct equation.The correct equation is , which matches our derived equation from Step . This equation can be used to find , the number of hours Jasmine's cat sleeps each day.
