Question

PROBLEM:

Answer 1

Answer:

High-end lashes cost:

• $10 each

And low-end lashes cost:

• $5 each

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
• Y = 5

With the variable Y solved, that is, the cost of the low-end tabs that corresponds to $5, 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
• X = 10

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