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Allisa [31]
2 years ago
7

A store is having a sale on walnuts and chocolate chips. For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost

is $37. For 5 pounds of walnuts. and 3 pounds of chocolate chips, the total cost is $17. Find the cost for each pound of walnuts and each pound of chocolate chips.​
Mathematics
1 answer:
Jlenok [28]2 years ago
6 0

Answer:

  • Walnuts  cost $1.75, chocolate chips cost $2.75

Step-by-step explanation:

<h3>Let the costs be:</h3>

  • Walnuts - x
  • Chocolate chips - y

<h3>Set equations as per question</h3>

For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:

  • 7x + 9y = 37

For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:

  • 5x + 3y = 17

<h3>Solve the system by elimination</h3>

Multiply the second equation by 3 and subtract the first equation, solve for x:

  • 3(5x + 3y) - (7x + 9y) = 3(17) - 37
  • 15x + 9y - 7x - 9y = 51 - 37
  • 8x = 14
  • x = 14/8
  • x = 1.75

Find the value of y:

  • 7*1.75 + 9y = 37
  • 12.25 + 9y = 37
  • 9y = 37 - 12.25
  • 9y = 24.75
  • y = 24.75/9
  • y = 2.75
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Answer:

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Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

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Since the same is for  200-299, and so on. Let us add twenty four times.

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4 0
3 years ago
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lapo4ka [179]

Answer:

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Step-by-step explanation

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Rule 2 when you add : If the signs are different subtract the numbers and take the sign of the bigger number.

I wanted to help you understand and i hope i did that!

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3 years ago
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8 0
3 years ago
The coffee counter charges ?"$11.00" per pound for kenyan french roast coffee and ?"$13.00" per pound for sumatra coffee. How mu
zloy xaker [14]

Answer: The answer is 13 ponds of each type should be used.

Step-by-step explanation:  Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.

Let 'x' pound and 'y' pound of  kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.

So, we have

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Multiplying equation (A) by 11 and subtracting from equation (B), we have

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8 0
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