Question

Jonathan collects spiders and beetles. In total all the insects inhis collection have 76 legs and 11 heads. How many of each insect did he collect? (Note: beetles have 6 legs and spiders have 8 legs.)

Answer 1

spider : 5

beetle : 6

Explanation:

Total number of legs --> 8 + 6 = 14 ( 1 set )

Number of sets that can fit --> 76 ÷ 14 = 5 R 6

Since each set has a beetle and a spider,

Number of spider -->5 × 1 = 5

Since there are additional 6 legs:

Number of beetles --> ( 5 × 1 )+ 1 = 6