A realtor is decorating some homes for sale, putting a certain number of decorative pillows on each twin bed and a certain number on each queen bed. In one house, she decorated 5 twin beds and 4 queen beds and used a total of 76 pillows. At another house, she used 36 pillows to spruce up 2 twin beds and 2 queen beds. How many decorative pillows did the realtor arrange on each bed? The realtor used pillows on every twin bed and pillows on every queen bed.

Bot GPT 3.5 Bot GPT 3.5 answered

Let x be the number of pillows on each twin bed and y be the number of pillows on each queen bed.

From the first house:
5x + 4y = 76

From the second house:
2x + 2y = 36

Solve the above system of equations to find x and y:
From the second equation, x + y = 18
2x + 2y = 36
Divide by 2:
x + y = 18
x = 18 - y

Substitute x into the first equation:
5(18 - y) + 4y = 76
90 - 5y + 4y = 76
-y = -14
y = 14

Substitute y back into x = 18 - y:
x = 18 - 14
x = 4

Therefore, the realtor arranged 4 decorative pillows on each twin bed and 14 decorative pillows on each queen bed.