Question

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 1 twin bed and 1 queen beds and used a total of 15 pillows. At another house, she used
21 pillows to spruce up 2 twin beds and 1
queen beds. How many decorative pillows did the realtor arrange on each bed?

Answer 1

The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.

Simultaneous equation

let

• Number of decorative pillows for twin bed = x
• Number of decorative pillows for queen bed = y

x + y = 15

2x + y = 21

From equation (1)

x = 15 - y

• Substitute x = 15 - y into (2)

2x + y = 21

2(15 - y) + y = 21

30 - 2y + y = 21

- 2y + y = 21 - 30

-y = -9

y = 9

Substitute y = 9 into

x + y = 15

x + 9 = 15

x = 15 - 9

x = 6

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