Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three tim

step 1 Okay, so let us start with the question. Because she says Molly is making strawberry infused wat

Molly is making strawberry infused water. For each ounce of...

Key Concepts

Algebraic Equations

Algebraic equations are used to represent the relationships between different quantities in a problem. In mixture problems, equations are set up based on the given ratio and total amount, and solving these equations yields the individual amounts of each component.

Ratio

A ratio expresses the relative sizes of two or more values or quantities; in mixture problems, it shows how one ingredient relates to another. Understanding ratios allows you to set up the proportional relationships needed to find individual component amounts from a total volume.

Mixture Problems

Mixture problems involve combining substances with different proportions to achieve a desired total volume or concentration. They require establishing relationships between the components, often using ratios to define how much of each ingredient is used.

Transcript

00:01 Okay, so let us start with the question.

00:03 Because she says molly is making strawberry infused water.

00:06 For each ounce of strawberry juice, she requires three times as many ounces of water.

00:11 So what we can write from this statement is, see, we'll assume, s represents strawberry and w represents water.

00:26 Okay, so it is saying we have strawberry and we have water and she is saying for each ounce of strawberry, we are taking three ounces of water, three times.

00:34 Okay so how many ounces of strawberry juice and how many ounces of water does she need to make 64 ounces of strawberry so in total she has to make 64 okay 64 ounces of juice strawberry infused water so strawberry has to take some amount and she has to take water some amount and total it should be 64 ounce so this will be our first equation okay second equation we can form from here what she says is for each ounce of strawberry each ounce of strawberry she requires three ounces of water so what we can write from this is w equal to 3 s okay why if we take a one ounce of strawberry it will be three ounces of water okay this thing goes like here okay double equals to 3s is our another equation okay so i'll write it in a box this is our equation two so first step we formed our equations okay we got our two equations and now what we will do is we will try to plot okay so in order to plot them you need to find the coordinates okay so i'll find the coordinates for each equation so first i'll find for w equal to 3 s okay this one is for w equal to 3s okay so in order to plot just put substitute w equal to 0 is equal to 0 okay so before finding this why i'm finding the other one let me find for other one also because this one needs a bigger coordinate see s plus w is 64 okay this plus w is 64 ms plus 64 is okay okay okay okay before that i'll wrap it off i'll need to get you the basic concept while drawing all these graphs you know you have to find which variable is dependent on what okay so here w is dependent on s okay so w will come in x axis sorry w will come in y axis and s will come in x axis okay okay now we will try to find out the coordinates for the equation this equation and w equal to 3s now w okay okay okay if i substitute s equal to 0, w is equal to 64.

03:33 If i substitute w equal to 0, x is s equal to 64.

03:38 If i substitute, let's find this one is bigger coordinates, okay? so in between we need to find some other coordinate.

03:45 So if i take s equal to 32, this will be also 32.

03:49 Okay, so let's make for this one, sw.

03:56 Okay, so if i take s equal to 0, w is 0...

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