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Sedaia [141]
2 years ago
9

PROBLEM:

Mathematics
1 answer:
fredd [130]2 years ago
4 0

Answer:

High-end lashes cost:

  • <u>$10 each </u>

And low-end lashes cost:

  • <u>$5 each</u>

Step-by-step explanation:

In the first instance, two variables are provided which are:

  • X = Cost of high-end lashes.
  • Y = Low-end lash cost.

With these variables and the information provided on the sales of tabs, we obtain:

  1. 5X + 6Y = 80
  2. 8X + 4Y = 100

We proceed to solve the variable X of the first equation:

  • 5X + 6Y = 80
  • 5X = 80-6Y
  • X = (80-6Y) / 5

Said cleared variable is replaced in the second equation and is operated:

  • 8X + 4Y = 100
  • 8 ((80-6Y) / 5) + 4Y = 100
  • ((640-48Y) / 5) + 4Y = 100
  • (640-48Y + 20Y) / 5 = 100
  • 640-48Y + 20Y = 100 * 5
  • 640-28Y = 500
  • 640 = 500 + 28Y
  • 640-500 = 28Y
  • 140 = 28Y
  • 140/28 = Y
  • <u>Y = 5</u>

With the variable Y solved, that is, the cost of the low-end tabs that <u>corresponds to $5</u>, we proceed to identify the real value of the variable X in the first equation:

  • 5X + 6Y = 80
  • 5X + 6 (5) = 80
  • 5X + 30 = 80
  • 5X = 80-30
  • 5X = 50
  • X = 50/5
  • <u>X = 10 </u>

Therefore, the variable X, which is the price of the high-end tabs, corresponds to <u>$10 each</u>.

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