Guest May 6, 2015

#3**+5 **

NOTE:

Equations that can only have integer solutions are call **diophantine equations**

As a general rule thes are much more difficult to solve than normal equations where all real solutions are acceptable.

---------------------------------------------------

I have just seen a pop-up telling me that you have repeated this question without stating that it is a repeat question.

**PLEASE DO NOT DO THIS!!**

Alan and i have both answered you and as a result other question will not be answered.

You are invited to repost - that is fine BUT please follow the intstuctions that i have laid out here.

**http://web2.0calc.com/questions/instructions-on-reposting_1**

Alan's solution is here:

Melody May 6, 2015

#1**+5 **

ok

spiders have 8 legs and 1 head S

beatles have 6 legs and one head B

apodous larvae have no legs and 1 head L

S+B+L=17 and 8S+6B=58

Lets look at this 8S+6B=58

number of spiders that there could be 1 2 3 4 5 6 7

no. of spiders legs 8 16 24 32 40 48 56

legs left for beatles 50 42 34 26 18 10 2

Which of these is divisable by 6? 42 18

How many beatles might this be (divide by 6) 7 3

SO there could be 2 spiders 7 beeetles and 8 Lavae

or there could be 5 spiders 3 beetles and 9 lavae ** **

** **

She has less lavae than spiders and beetles combined so

**SO there must be 2 spiders 7 beeetles and 8 Lavae**

Melody May 6, 2015

#2**0 **

This question seems to have been repeated here: http://web2.0calc.com/questions/an-entomologist I answered it earlier, not realising it was a repeat!

.

Alan May 6, 2015

#3**+5 **

Best Answer

NOTE:

Equations that can only have integer solutions are call **diophantine equations**

As a general rule thes are much more difficult to solve than normal equations where all real solutions are acceptable.

---------------------------------------------------

I have just seen a pop-up telling me that you have repeated this question without stating that it is a repeat question.

**PLEASE DO NOT DO THIS!!**

Alan and i have both answered you and as a result other question will not be answered.

You are invited to repost - that is fine BUT please follow the intstuctions that i have laid out here.

**http://web2.0calc.com/questions/instructions-on-reposting_1**

Alan's solution is here:

Melody May 6, 2015