The owner of two hotels is ordering towels. he bought 38 hand towels and 31 bath towels for his hotel in arcadia, spending a total of $293. he also ordered 45 hand towels and 71 bath towels for his hotel in middletown, spending $587. how much does each towel cost?

Cost of the hand towels is $2 and cost of the bath towels is $7 .

Step-by-step explanation:

Let us assume that the cost of hand towels be x .

Let us assume that the cost of bath towels be y .

As given

The owner of two hotels is ordering towels.

He bought 38 hand towels and 31 bath towels for his hotel in Arcadia, spending a total of $293.

Than the equation becomes

38x + 31y = 293

As given

He also ordered 45 hand towels and 71 bath towels for his hotel in Middletown, spending $587.

Than the equation becomes

45x + 71y =587

Multiply the equation 45x + 71y =587 by 31 .

45x × 31 + 71y × 31 = 587 × 31

1395x + 2201y = 18197

Multiply 38x + 31y = 293 by 71.

71 × 38x + 71 × 31y = 293 × 71

2698x + 2201y = 20803

Thus two equations are

1395x + 2201y = 18197

2698x + 2201y = 20803

Subtracting 1395x + 2201y = 18197 form 2698x + 2201y = 20803 .

2698x - 1395x + 2201y - 2201y = 20803 - 18197

1303x = 2606

x =$ 2

Putting this x = 2 in the equations

1395 × 2  + 2201y = 18197

2790 + 2201y = 18197

2201y = 15407

y = $7

Therefore the cost of the hand towels is $2 and cost of the bath towels is $7 .

she played for 18.75 hours.

step-by-step explanation:

if she played 2/4 of a hour on tuesday. and there is 60 minutes in an hour and 60 divided by 4 is 7.5. and she played 2/4 of an hour on thursday then again 60 divided by 4 is 7.5, you add 7.5+7.5=56.25. now you have to do 1/4 of an hour, it equals 3.75. now you have to add them all up. 3.75+7.5+7.5=18.75

i hope this and i hope you get it right. it took me a while to get this done for you. : )

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation: