Xiao Ming's mother went shopping in the supermarket. It is known that 13 eggs, 5 duck eggs and 9 quail eggs cost 9.25 yuan; 2 eggs, 4 duck eggs and 3 quail eggs cost 3.20 yuan. Q: how much does Xiao Ming's mother want to pay for one egg, one duck egg and one quail egg?

Xiao Ming's mother went shopping in the supermarket. It is known that 13 eggs, 5 duck eggs and 9 quail eggs cost 9.25 yuan; 2 eggs, 4 duck eggs and 3 quail eggs cost 3.20 yuan. Q: how much does Xiao Ming's mother want to pay for one egg, one duck egg and one quail egg?

Suppose the price of an egg, a duck egg and a quail egg is x yuan, y yuan and Z yuan respectively
13X+5Y+9Z=9.25 (1)
2X+4Y+3Z=3.20 (2)
(2) * 3 - (1) is y = 0.05 + X (3)
From (1) (3), 2x + Z = 1
X+Y+Z=2X+0.05+Z=1+0.05=1.05