(1) There are 22 workers in a workshop, and each person produces 2400 screws or 4000 nuts on average every day. One screw needs two nuts. In order to make the daily products just match, how should we allocate 22 workers to produce screws and nuts?

Suppose x workers are assigned to make nails, then there will be (22-x) snails.

2×2400x=4000(22-x)

X= 10, so there are 12 nuts.

(2) To produce a batch of clothes of a certain model, a 3-meter-long cloth can be made into two coats or three pants, and a coat and a pair of pants are a set. There are 600 meters of this cloth in the warehouse. How much cloth does it take to make a coat and how much cloth does it take to make pants?

If a coat is made of 3X meters, then pants are (600-3x).

2×3x=3×(600-3x) x= 120, so making a coat is120× 3 = 360m, and making pants is 600-360 = 240m.

(3) Square table with four legs, 1m? Wood can be processed into 30 desktops or 80 legs. Current capacity 12m? Wood, how to arrange production, so that the produced desktop and table legs just match?

Do you want Xm to make a desktop? ..... so the legs of the table should be (12-x)m?

4×30x=80( 12-x) x=4.8, so the legs of the table should be 7.2m?

(4) There are 36 workshop workers, each of whom can produce 15 bolts or 18 nuts every day, and two bolts and three nuts make a set. How to arrange workers for production, so that the bolts and nuts produced every day just match?

Set up x workers to produce bolts. Then 36-X workers produce nuts.

3× 15X = 2× 18(36-X)X = 16

So 16 workers produce bolts. Then 20 workers produce nuts.

(5) A piece of iron sheet can produce six boxes at the bottom or 10 boxes, and one box at the bottom is matched with two boxes. At present, there are 1 10 pieces of iron sheet. How can the bottom of the box and the box be arranged to match?

Set the bottom of X tin production boxes. Then use 1 10-X pieces of leather to make boxes.

2×6X =( 1 10-X)× 10 X = 50

So use 50 pieces of iron to make the bottom of the box. Then use 60 skins to produce boxes.