analyse
Based on the total number of people in two workshops 1,
The first and second workshops account for 5/7 and 2/7 of the total number of people respectively.
(1) 1/8 of the first workshop is equivalent to 1/8×5/7 = 5/56 of the total number of people.
After the first workshop transferred 1/8 to the second workshop:
The number of people in the first workshop accounts for 5/7-5/56 = 35/56 of the total number;
The number of people in the second workshop accounts for 2/7+5/56 = 2156.
(2) After transferring 14 people from the first workshop, the number of people in the two workshops will be equal.
Explain that before 14 people were transferred, the difference between the first workshop and the second workshop was 14 people.
Then the total number of people is:14 ÷ (35/56-21/56) = 56.
So the original total number of people in the first workshop was 56x 5/7=40.
Column calculation
1/8 x 5/7=5/56
5/7 -5/56=35/56
2/7 +5/56=2 1/56
14÷(35/56 -2 1/56)=56
56x 5/7=40
A: The original total number of people in the first workshop was 40.
Step 2 refer to the answer
The original formula =3/4×98+3/4×3-3/4× 1.
=3/4×(98+3- 1)
=3/4× 100
=75