Method 1: The machinery factory produces 6000 pieces a day. The first group is 500 yuan less than 2/3 of the second group, and the third group is 200 yuan more than 6/5 of the first group. How many pieces did the third group produce?

Solution: let the first group produce X. ..

2/3-500+X+5/6+200 = 6000

X= 1890

1890× 5/6+200 =1775 (pieces)

A: The third group produced 1775.

A barrel of oil in the canteen is 58 kilograms, and it will be used up in three days. On the first day, 1/3 was used, on the second day, the remaining 2/3 was used, and on the third day, it was 6 kg less than the sum of 3/7 used in the previous two days. How many kilograms does this bucket weigh?

Solution: let the oil weigh x kilograms.

x- 1/3x-2/3 * 2 * 3x-( 1/3x+2/3 * 2/3x)* 3/7+6 = 0

x=54

58-54=4 kg

Method 2:. Solution: let the first group produce X. ..

2/3-500+X+5/6+200 = 6000

X= 1890

1890× 5/6+200 =1775 (pieces)

Suppose the oil weighs y kilograms.

y- 1/3Y-2/3 * 2 * 3Y-( 1/3Y+2/3 * 2/3Y)* 3/7+6 = 0

Y=54

58-54=4 kg