Costa Rican / Colombian Coffee

Colombian / Costa Rican coffee

What i did

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Substitution

Then you sub in y= -x + 90 you get 3x + -6x + 540 = 360 then you add 540 to both sides of the equation after you will divide -3x into -180 and get x=60

3x + 6(-x +90) = 360

3x + -6 +540 =360

-3x+540=360

-540 -540

-3x -180

-3 -3

x=60

Elimination

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Coffee

x - Colombian coffee

Check !

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y - Costa rican coffee

3(60) + 6(30)= 360

180+180= 360

-180 -180

180 = 180

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3X+6Y=360

X+Y=90

1. you create your equations

2. You distribute -6 into the bottom equation

3. Then you add -6 to both sides

4. You add -6x and 3x and add -540 and 360 to get -180

5. Then you divide -3x into -180

6. x= 60

To find X..

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A coffee maker wants to make a coffee blend by mixing two different coffee beans. Colombian cofee is $3 per pound, while Costa Rican coffee is $6 per pound. The company wants 90 pounds of this mixture which will sell for $4 per pound. how many pounds of each type of coffee should be used ?

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What did..

Check !

3 (60) + 6y = 360

180 + 6y =360

-180 -180

6y 180

6 6

y = 30

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3x+6y=360

x+y= 90

3x+6y=360

-6x+-6=-540

-3x 180

-3 -3

x=60

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To get y you need to sub 60 into the first equation. You get 180 plus 6y equals 360. You add 180 into both sides of the equation sthen you divide 6 into 180 and get y=30.

3X+6Y= 360

X+Y=90

Check !

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60x + 30y = 90

-60 -60

30 = 30

1. You create your equations

2. You distribute -6 into the bottom equation

3. Then you add -6 to both sides

4. You add -6 & 3x and -540 and 360 to get -180

5. Then you divide -3x into -180

6. X= 60

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3(60)+ 6(30)=360

180 + 180 = 360

-180 -180

180 = 180

GRAPH

To find Y..

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Check !

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3(60)+6Y=360

180+6Y=360

-180 -180

6Y 180

6 6

Y = 30

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-6(60)

-6(60) + -6(30) = -540

-360 + -180 = -540

360 360

-180 = -180

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1. You sub in 60 into the first equation

2. Now you add 180 to both sides of the equation

3. Add 360 to -180 and then you get 180

4. Divide 6y into 180

5. Y= 30

My strength and my Weakness..

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My strength would be elimination because its pretty much the easiest way to figure this kinda stuff out.. on the other hand my weakness would be graphing because I've never been good with graphs.