MATH SOLVE

2 months ago

Q:
# Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540 for the first hotel. He ordered 50 hand towels and 24 bath towels for a bill of $416 for the other hotel.What is the cost of one hand towel and one bath towel?

Accepted Solution

A:

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 is27h + 48b = 540........(1)Equation of second hotel is50h + 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 = 4Therefore, 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 = 9Therefore, 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