Question

The cost of two cushions and three pillows is 1410. If each cushion costs
€ 200 more than the pillow, find the cost of the cushions and pillows.​

Answer 1

Answer:

The cost of cushions = €202

The cost of pillows = €402

Step-by-step explanation:

Let the cost of cushions be x & cost of pillows be y

The cost of two cushions and three pillows is 1410,

So 2x + 3y = 1410 ----(i)

Each cushion costs € 200 more than the pillow,

So, x = 200 + y

x - y = 200

2x - 2y = 400 ----(ii)

Solving (i) and (ii) by elimination method

2x+3y=1410

2x - 2y = 400

(i) - (ii)

5y = 1010

y = € 202

(i) ==> 2x + 3(202) = 1410

2x = 804

x = € 402