Question

Can someone help me solve this :

At a store, 2 pillows and 3 pillow cases together cost $73.08. The total cost of 3 pillows and 4 sheets is $120.82. If the price of the pillows is 3 times as much as the price of a pillow case, what is the total cost of 5 pillows and 7 sheets?

Answer 1

Answer:The total cost of 5 pillows and 7 sheets is $205.345

Explanation:

Answer 2

The total cost of 5 pillows and 7 sheets is $205.345

Explanation:

Let x be the price of pillow case

We are given that the price of the pillows is 3 times as much as the price of a pillow case

Price of pillow = 3x

Price of 2 pillows = 2(3x)=6x

Price of 3 pillow case = 3x

At a store, 2 pillows and 3 pillow cases together cost $73.08.

So, 6x+3x=73.08

9x=73.08

`x=(73.08)/(9)`

x=8.12

So, Price of 1 pillow case = 8.12

Price of 1 pillow = 3x=3(8.12)=24.36

Price of 3 pillow =3(24.36)=73.08

Let y be the cost of 1 sheet

The total cost of 3 pillows and 4 sheets is $120.82

So, 73.08+4y=120.82

`y=(120.82-73.08)/(4)`

y=11.935

Price of 1 sheet = 11.935

Price of 7 sheets = 7(11.935)=83.545

Price of 5 pillows =5(24.36)=121.8

So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345

Hence the total cost of 5 pillows and 7 sheets is $205.345