8. China Ancient Question) There are two kinds of barrels for holding wine. It is known that five vats plus 1 keg can hold three bottles of wine (Tribe Tiger is an ancient capacity unit), and one vats plus five kegs can hold two bottles of wine. How many bottles can a vat and 1 keg hold respectively? The answer to

Solution:

Set large barrel wine x, 1 small barrel wine y.

So 5x+y=3 (1)

x+5y=2 (2)

amount to

6x+6y=5

x+y=5/6(3)

( 1)-(3)

4x= 13/6

x= 13/24

y=3-5x=7/24

A: A large barrel 13/24, 1 small barrel 7/24.

1 1. The whole journey from A to B is 3.3km, with one uphill, one flat road and one downhill, with an uphill slope of 3km/ hour, a flat road of 4km/ hour and a downhill slope of 5km/ hour. Then, it takes 5 1 minute from a to b and 53.4 minutes from a to b.

Set a place to go uphill xkm, level road ykm and downhill zkm.

x+y+z=3.3( 1)

x/3+y/4+z/5=5 1/60(2)

x/5+y/4+z/3=53.4/60(3)

Solution: uphill1.2km. The flat road is 0.3 km, and the downhill road is1.5km..

1 yuan = 10 angle 7 yuan =70 angle.

Solution: Suppose that X is in an angle, Y is in an angle, and Z is in an angle of 10.

Equation: x+y+z= 15.

x+5y+ 10z=70

The solution is x=5.

y=7

z=3