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mel-nik [20]
3 years ago
10

Melissa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Melissa $ 5.95 per pound, and

type B coffee costs $ 4.15 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $ 644.00 . How many pounds of type A coffee were used?
Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0
5.95x+4.15(3x)=644
Solve for x
X=35
Check
(5.95×35)+4.15×(3×35)=644
olya-2409 [2.1K]3 years ago
5 0
<span>B=89 lbs ANSWER: The mix contained 89 pounds of Type B coffee.
CHECK:
167lbs-89lbs=78 lbs She used 78 pounds of Type A coffee.
$4.35A+$5.70B=$846.60
$4.35(78)+$5.70(89)=$846.60
$339.30+$507.30=$846.60
$846.60=$846.60</span>
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Answer:

<em>Henson: 3x + y = 163</em>

<em>Garcia: 2x + 3y = 174</em>

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Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

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Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3<em>y</em> = 174

2x + 3(<em>163 - 3x</em>) = 174

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x = 45

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Answer:

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Multiplying 2-Digit by 2-Digit Numbers

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Write the product as shown.



 

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4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.



 

5. Multiply the ones digit of the top number by the tens digit of the bottom number.



 

6. Multiply the tens digit of the top number by the tens digit of the bottom number.



This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.

 

7. Add the two partial products.

 

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.

So, a long division problem will have:



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