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