The owner of two hotels is ordering towels. He bought 15 hand towels and 43 bath towels for his hotel in Livingston, spending a total of $548. He also ordered 99 hand towels and 62 bath towels for his hotel in Lancaster, spending $1,177. How much does each towel cost?

The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

Step-by-step explanation:

Let the Cost of Each hand Towels be .

Let the Cost of Each Bath Towels be .

Now Given:

15 hand towels and 43 bath towels for his hotel in Livingston, spending a total of $548.

So we can say that;

 ⇒ Equation 1

Also Given:

99 hand towels and 62 bath towels for his hotel in Lancaster, spending $1,177.

So we can say that;

 ⇒ Equation 2

Substituting the value of 'x' from equation 1 in Equation 2 we get;

Now taking LCM to make the denominator common we get;

Combining the like terms we get;

Dividing both side by 1109 we get;

Substituting the value of y in equation 1 we get;

Hence The cost of each Hand towels is $5 and Cost of each Bath towel is $11.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b