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Current time:0:00Total duration:4:25
CCSS.Math:

Video transcript

Fleur wants to make tables and chairs each chair or table is made with the same number of wooden boards and nails she has a total of 150 wooden boards and 330 nails the following inequality represents the number of tables tea and chair see she can make with 150 wooden boards so we can see the 150 wooden boards right over here and it looks like she uses 17 wooden boards for each table so the total amount of boards from the tables are to make the tables is 17 C and it looks like she uses it looks like she uses six wooden boards for each chair and that's why you take six per chair times the number of chairs this is a total number of wooden boards she uses from the chairs and if you add them together it can't be any more than 150 she only has I guess 150 wooden boards additionally the following inequality represents the number of tables and chairs she can make with 330 nails so once again she has the maximum of 330 nails and it looks like she needs 34 nails per table because the total the total nails from the tables is 34 nails per table times the number of tables and then it looks like she needs 27 nails it looks like she needs 27 nails per chair because the total nails that she uses on all the chairs are 27 nails per chair times the number of chairs does Fleur have enough boards and nails to make three tables to make three to make three tables and nine chairs and nine chairs let's see let's let's look at the number of boards to make three tables and nine chairs she's going to use 17 times T in this case it's three she's going to use 17 times three boards for the tables and then she is going to use she is going to use six times the number of chairs so six times nine chairs six boards per chair times nine chairs so six times nine is the number of boards she's going to use on the chairs so this is going this is the same thing as 17 times 3 is 51 51 plus 6 times 9 is 54 so this is 54 and what is this is this less than or equal to 150 is that less than or equal to 150 let's see 51 plus 54 is going to be 105 so that indeed is less than or equal to 150 so that checks out so she has more than enough boards so she has enough boards let me write that enough boards now let's see if she has enough nails let's see if she has that came out weird enough boards let's see if she has enough nails so three tables are going to require thirty four times three nails so thirty four nails per table times three tables so 34 times three that's how many nails for all of the tables and then plus plus she is going to use 27 nails per chair times the nine chairs 27 times nine and we need to figure out is this less than or equal to 330 so let's see 34 times three that is what a hundred now that's 90 90 plus 12 so that's 102 and then 27 times nine so let's see that would be was it 243 yep so plus 243 so 102 plus 243 is that less than or equal to 330 so let's see this would be this would end up adding up to 345 no this is not less than equal this is not less than or equal to 330 this is not the case this is not true not not true so she does not have enough nails so not enough not enough nails and so she has enough boards but not enough nails so unless he goes and I'll go buys some nails she's not going to be able to make these tables and chairs