Answer:
High-end lashes cost:
And low-end lashes cost:
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:
- 5X + 6Y = 80
- 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>.