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Current time:0:00Total duration:3:13

Video transcript

let's get some practice comparing in computing rates so they tell us the pet store has three fish tanks each holding a different volume of water and a different number of fish so tank a has five fish and it has forty forty liters of water tank b12 fish hundred litres of water and tank C 23 fish and has 180 liters of water order the tanks by volume per fish from least to greatest so let's think about what volume volume per fish we could think about this as volume divided by fish volume per fish alright so here for tank a it's going to be 40 40 liters 40 liters for every five fish 40 for every five fish and let's see 40 over five is eight so you have eight liters per fish is the rate at which they have to add water per fish if we're tank a now tank B you have one hundred 100 liters for 12 12 for 12 fish so what is this going to be this is going to be 12 goes into 108 times so eight times 12 is 96 and then you have four left over so this is going to be 8 and 4 12 or eight and 1/3 liters per fish and all I did is I converted this improper fraction 100 over 12 to a mixed number and I simplified it 12 goes into 108 times with remainder 4 so it's 8 and for 12 so it's the same thing as 8 and 1/3 and then finally in tank C I have 180 liters for 23 for 23 fish so what is this going to be 23 goes into 180 let me try to calculate this 23 goes into 180 it looks like it's going to be less than 9 times is it 8 times 8 times oh not 8 times we'll see 7 times 7 times 3 is 21 7 times 2 is 14 plus 2 is 16 then you subtract you get a remainder of 19 so this is going to be seven with remainder 19 or you could say this is seven and nineteen twenty thirds litres per fish so which one has we're going to order the tanks by volume per fish form least to greatest so tank B has the largest volume per fish has eight and 1/3 liters per fish so this is in first place and then tank a is in second place tank a is in second place and then tank and then tank C is in third place Oh actually want to go from least to greatest so this is let me write it this way this is tank C is the least and tank a is the greatest is the greatest so we really have to swap this order out now I just copied and pasted this from the Khan Academy exercises let me actually bring the actual exercise up and I can rearrange it C was the least and B was and B was the most and we check our answer we got it right