Question

PROBLEM:

"Kimberly is starting a business of lashes. Periodt!! She sells her high end lashes for the same amount and her less end lashes for the
same amount (cheaper sis). One day she sold 5 high end lashes and 6 less end lashes for $80. The next day she sold 8 high end lashes
and 4 less end lashes for $100. She's getting her money! Yess sis!! How much does her high end lashes cost? How much does her less
end lashes cost?


I'm sorry for how pathetic this problem is my tescher gave it to me​

Answer 1

High-end lashes cost:

• $10 each

And low-end lashes cost:

• $5 each

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.