He made as many mistakes as he didn't, but was deducted 1 point for making one mistake.
Assuming that he got all 20 questions correctly, 20 points will be deducted, which is 76+20=96 points different from the actual 76 points.
If the difference between doing right and doing wrong is 5+ 1=6, then he did right 96÷6= 16 and did wrong (20- 16)÷2=2, but didn't do 2.
2。 Spiders have eight legs, dragonflies have six legs and two pairs of wings, and cicadas have six legs and a pair of wings. At present, there are 20 of these three insects, 128 legs and 22 pairs of wings. How many of each?
Suppose all 20 are spiders, with 20×8= 160 legs, which is more than the actual 128 legs 160- 128 = 32 legs.
Spiders have 8-6=2 more legs than dragonflies (or cicadas), so there are 32÷2= 16 dragonflies and cicadas.
There are 20- 16=4 spiders.
Suppose 16 are all dragonflies with 16×2=32 pairs of wings, which is 32-22= 10 more than the actual 22 pairs.
Dragonflies have 2- 1= 1 wings more than cicadas.
10 The pair of wings should be 10÷ 1= 10 cicada.
There are 16- 10=6 dragonflies.
So, there are four spiders, six dragonflies and 10 cicadas.