Answer:
The total cost of 5 pillows and 7 sheets is $205.345
Step-by-step 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=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=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