Question

Sammy's rabbit can eat 70 pounds of food in 80 days. Part A: At that same rate, how much food will Sammy need to feed his rabbit in 24 days? Part B: How long will it take his rabbit to eat 87.5 pounds of food? Part C: Suppose Sammy buys his rabbit a companion. Together, the rabbits need can eat 95 pounds of food in 65 days. Approximately how much food will Sammy need to buy in order to feed both rabbits inl year ( 365 daya)? Round to the nearest tenth.​

Answer 1

Part A

The rabbit can eat 70 pounds of food in 80 days. The unit rate is 70/80 = 0.875 pounds of food per day. Multiply this with the 24 days to get the total amount eaten over that timespan.

24*0.875 = 21

Answer:  21 pounds of food

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Part B

x = number of days

The rabbit eats at a unit rate of 0.875 pounds per day. After x number of days pass by, the rabbit has eaten a total of 0.875x pounds of food. Set this equal to 87.5 and solve for x.

0.875x = 87.5

x = (87.5)/(0.875)

x = 100

Answer: 100 days

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Part C

This is is similar to part A, just with different numbers. We could follow those steps to get the answer, but I'll go another route.

Instead, I'll use a proportion to solve.

(95 pounds)/(65 days) = (x pounds)/(365 days)

95/65 = x/365

95*365 = 65*x

34675 = 65x

65x = 34675

x = 34675/65

x = 533.461538

x = 533.5

Answer: 533.5 pounds of food