IDNLearn.com: Your one-stop destination for reliable answers to diverse questions. Ask your questions and receive accurate, in-depth answers from our knowledgeable community members.
Sagot :
This question is based on the concept of solving a two linear equation.
Thus, the cost of one bath towel is $9 and one hand towel is $4.
Given:
Number of ordered of hand towels is 27 and bath towels is 48 and for a bill of $540 for the first hotel.
Number of ordered of hand towels is 50 and bath towels is 24 and for a bill of $416 for the other hotel.
We need tom determined the cost of one hand towel and one bath towel.
According to the question:
Let the hand towels be h and bath towels be b.
Therefore, equation of first hotel is
27h + 48b = 540........(1)
Equation of second hotel is
50h + 24b = 416.........(2)
Now, solving both equation for h and b.
Equation (2) multiplying by -2.
-100 h -48 b = - 832..................(3)
Now, solve equation (1) and (3)
27h + 48b = 540 and -100h - 48b = - 832
⇒ -73 h = - 292
⇒ h = -292 / -73
⇒ h = 4
Therefore, the cost of 1 hand towel is $4.
Now, putting the value of h = 4 in equation (1).
⇒ 27(4) + 48b = 540
⇒ 108 + 48b = 540
⇒ 48b = 540 - 108
⇒ 48b = 432
⇒ b = 432/48
⇒ b = 9
Therefore, the cost of 1 bath towel is $9.
Thus, the cost of one bath towel is $9 and one hand towel is $4.
For more details, prefer this link:
brainly.com/question/11897796
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
