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# Measurement word problem: distance home

CCSS.Math:

## Video transcript

on judy's way home from school yesterday she ran for half the distance then she skipped for 1/4 of the remaining distance and walked the rest of the way home she walked for a total of 360 feet what is the distance between school and Judy's home and they say write the answer in yards so this is a little tricky right over here they say 360 feet write the answer in yards and we have to remind ourselves that 1 yard 1 yard is equal to 3 feet so just so we make sure we don't make that careless mistake let's put all of our information in yards right now so 360 feet is how many yards well there's 3 feet per yard so we're just going to divide 360 feet by 3 and so 360 divided by 3 is 120 120 yards and now we can continue to do the whole problem in terms of yards so let's think about it if we make the entire distance so let me say that this is there our entire distance this is on her way home from school so this is school this is school and then let me draw a line that shows the distance all the way home so I draw it as large as possible so that we have room to to write inside of it so that's cool that that is home and they first tell us that she ran for half the distance so let's split this in two let's split that into and so she ran for half the distance this is the distance that she ran it's half the total distance so she ran for half the distance then they say then she skipped for one-fourth of the remaining distance so let's be clear the remaining distance is what I haven't what I haven't filled in an orange yet so let's mark that off in two fourths of the remaining distance so that is half the remaining distance that's 1/4 2/4 or this is 1/4 2/4 3/4 so we took the remaining distance and we divided it into fourths and they say then she skipped for 1/4 of the remaining distance so this is the remaining distance after running she skipped she skipped for 1/4 of it and then she walked the rest of the way home so she walked the rest of the way home this is the distance that she walked and this distance right over here is 120 yards what is the distance between school and Judy's home so there's a bunch of ways that you could think about this when we talked about the remaining distance after running so this was the remaining distance after she ran after this orange part right over here you see that this blue section is 3/4 of that remaining distance 120 yards is 3/4 of this remaining distance so this is equal to 3/4 of the remaining distance remaining remaining distance so how much is 1/4 of each of those remaining distance well is this just 3/4 its 1/4 is going to be 1/3 of this 1/3 of 120 is 40 so this distance right over here is 40 this is 40 this is 40 notice 40 plus 40 plus 40 is 120 and this right over here is also is also going to be 40 these are all in terms of yards so the remaining distance is going to be 40 times 4 or 160 yards so this is 160 yards now what is the total distance well this 160 yards the remaining distance after she ran that's half the total distance so this is 160 yards then this is going to be this is going to be 160 yards 160 yards as well so 160 yards plus 160 yards gives us a total distance from school to home of 320 yards