a) the number of fish that an aquarium can hold depends on the volume of the fis

Question

a) the number of fish that an aquarium can hold depends on the volume of the fish tank. the interior dimensions of the fish tank are 60cm, 30cm, and 40cm. each fish requires 10,000 cubic centimeters of water. how many fish will this fish tank hold?

b) the capacity of an elevator is either 25 children or 19 adults. if 12 children are currently in the elevator, how many adults can still get in?

c) a family has an income of $3076 per month and saves 28% per month. how much is the family saving per month in dollars

Explanation / Answer

a) first find the volume of the tank: (60*30*40) = 72,000 cm^3 Then divide by 10,000 cm^3 for each fish. This means that the tank will hold (72,000 cm^3)/(10,000 cm^3) = 7.2 fish. Round down since you can't have 2/10 of a fish. You can have a total of 7 fish in the tank. b) You can set this up as an equation using ratios. 25 children correspond to 19 adults, so we can write 25/19 on one side. On the other, we can write that 12 children correspond to x adults (unknown), so we have: 25/19 = 12/x Solving this equation for x gives us: x = 228/25 = 9.12. This means that the twelve children take up as much space as 9.12 adults. Subtracting this from the total number of adults that can fit (19) we get: 19 - 9.12 = 9.88. We have to round down since we can't have 88% of an adult in the elevator. Thus, you can fit 9 adults in the elevator with 12 children already inside. c) Write 28% as a decimal and you get 0.28. If you multiply $3076 by this you get how much they save per month: ($3076)*(0.28) = $861.28

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