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All right see shmoop er's Second of five questions in

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this mathey section here we go Eleanor needs apparently takes

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before her restaurant opens in five hours That's ten cakes

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in five hours to an hour could make a red

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velvet cake in thirty minutes Chocolate cake in forty five

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minutes because mother is very small but only one case

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at a time If represents red delegates you could make

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and be represents a number of chocolate cakes you could

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make it a filing system follows Best represent eleanor situation

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Okay so we're just kind of noodling over the question

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here and note that she could bake on ly red

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velvet cakes to an hour and we'll that would actually

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get her there because she's got to make ten cakes

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in five hours and she's gotta have two an hour

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so it looks like she doesn't have any room for

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chocolate cakes because they take forty five minutes So there's

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gonna be an interesting problem in the restaurant So yeah

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eleanor is a bit pressed for time so we're going

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to figure out this math conundrum for her while she

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preps ingredients It takes eleanor thirty minutes to make a

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red velvet cake in forty five minutes to make a

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chocolate cake Yes Were musing over this because it adds

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a lot of complexity of the problem But she has

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only five hours till convert all of this in two

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minutes to make the unit's match up Right That's The

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first thing you always do in these kind of problems

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Get the unit's teo sink sixty minutes per hour times

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five hours is three hundred minutes that's all the time

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She has so she should spend less than or equal

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to three hundred minutes So the questions already given us

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what the variables are here A and b the cakes

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and it's going to be thirty eight for the red

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velvet and forty five for the chocolate thing Right So

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thirty eight plus forty five b is got to be

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less than or equal to the three hundred there And

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they're all minutes Here is what we're referring to Eleanor

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needs at least ten plates Have dessert for her restaurant

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Meaning the number of red velvet cakes eh And the

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number of chocolate cakes be must be greater than or

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equal to ten So a plus b has to be

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Greater than or equal to ten just like that All

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right well the two inequalities that represent eleanor situation are

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thirty eight plus forty five is less than three hundred

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and a plus b is greater than yours able to

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ten So that's the answer there See yeah we hope

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eleanor will share some of the leftovers with us for

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helping around She must make at least ten cakes so

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less than or equal to wouldn't work here So get

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rid of that one and she only has five hours

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so using greater than or equal to and that equality

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would be no good either So being the those guys 00:02:17.888 --> [endTime] okay passed the fourth

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