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djyliett [7]
3 years ago
7

euben's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Reuben $5.70 per pound, and type

B coffee costs $4.30 per pound. This month, Reuben made 167 pounds of the blend, for a total cost of $820.30. How many pounds of type A coffee did he use?
Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

The quantity of type A coffee is 73 pounds

The quantity of type B coffee is 94 pounds .

Step-by-step explanation:

Given as :

The price of Type A coffee costs = $ 5.70 per pound

The price of Type B coffee costs = $ 4.30 per pound

The total quantity of coffee does Reuben purchases = 167 pounds

The total cost of the coffee for 167 pounds = $ 820.30

Let The quantity for type A coffee = a pounds

And The quantity of type B coffee = b pounds

Now, <u>According to question</u>

a + b = 167 pounds      And

$ 5.70 × a + $ 4.30 × b = $ 820.30

Now solving equations

5.70 × ( a + b ) = 5.70 × 167

or, 5.70 a + 5.70 b = 951.9

Now ,

( 5.70 a + 5.70 b ) - (   5.70  a +  4.30  b ) = 951.9 - 820.30

or, ( 5.70 a - 5.70 a ) + ( 5.70 b - 4.30 b ) = 131.6

Or, 0 + 1.4 b = 131.6

∴ b = \frac{131.6}{1.4}

I.e b = 94 pounds

Put the value of b to get a value

So, a = 167 pounds - b

Or, a = 167 - 94

∴   a = 73 pounds

Hence The quantity of type A coffee is 73 pounds

And The quantity of type B coffee is 94 pounds   .  Answer

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Table

________________________________

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(-1-3,2+3) -->  A(-4,5)

(1+3,2+3) -->   B(4,5)

(1+3,-2-3) -->  C(4,-5)

(-1-3,-2-3) --> D(-4,-5)

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(2+3,3+3) -->   F(5,6)

(2+3,-3-3) -->  G(5,-6)

(-2-3,-3-3) --> H(-5,-6)

___________________________________

Scale factor 4

(-1-4,2+4) -->  A(-5,6)

(1+4,2+4) -->   B(5,6)

(1+4,-2-4) -->  C(5,-6)

(-1-4,-2-4) --> D(-5,-6)

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(2+4,3+4) -->   F(6,7)

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______________________________________________________

Second Image.

Scale Factor 2

Length = 6

Width = 8

Perimeter = 2(6+8)= 2(14) = 28

Area = 6 times 8 = 48.

Scale Factor 3

Length = 8

Width = 10

Perimeter = 2(8+10)= 2(18) = 36

Area = 8 times 10 = 80.

Scale Factor 4

Length = 10

Width = 12

Perimeter = 2(10+12)= 2(22) = 44

Area = 10 times 12 = 120.

_____________________________________________

Scale Factor 2

Length = 8

Width = 10

Perimeter = 2(8+10)= 2(18) = 36

Area = 8 times 10 = 80.

Scale Factor 3

Length = 10

Width = 12

Perimeter = 2(10+12)= 2(22) = 44

Area = 10 times 12 = 120.

Scale Factor 4

Length = 12

Width = 14

Perimeter = 2(12+14)= 2(26) = 52

Area = 12 times 14 = 168.

Step-by-step explanation:

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