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Len [333]
3 years ago
9

On a timed session please help I have one more question after this.....

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

The coffee shop used 52 pounds of Type A coffee.

Step-by-step explanation:

Cost of Type A coffee per pound = 5.25

Cost of Type B coffee per pound = 4.10

Total pounds used in blend = 142

Total cost = 642.00

Let,

x be the pounds of Type A coffee used

y be the pounds of Type B coffee used

According to given statement;

x+y=142      Eqn 1

5.25x+4.10y=642.00   Eqn 2

Multiplying Eqn 1 by 4.10

4.10(x+y=142)\\4.10x+4.10y=582.20\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5.25x+4.10y)-(4.10x+4.10y)=642.00-582.20\\5.25x+4.10y-4.10x-4.10y=59.80\\1.15x=59.80\\

Dividing both sides by 1.15

\frac{1.15x}{1.15}=\frac{59.80}{1.15}\\x=52\\

The coffee shop used 52 pounds of Type A coffee.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10677255
  • brainly.com/question/10689103

#LearnwithBrainly

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