Question

Two types of alien live on the planet Starlight: Zoomas have 3 eyes and 2 legs and Popsies have 4 eyes and 5 legs. How many of each type of alien might there be if there are 38 eyes and 37 legs

Answer 1

Below

Explanation:

(3y + 2l )z + (4y + 5l) p = 38y+37 l <=======given ( y = eyes , l = legs)

z 2l + p5l = 37 l <===separating out the' l ' part

2z + 5p = 37

3y z + 4y p = 38y <====== taking out the 'y' part

3z + 4 p = 38 Solve the two underlined simultaneous equations

multiply first one by - 1.5 then add to second one to get:

-3z -7.5p = - 55.5 <===== solve for p

-3.5 p = - 17.5

p = 5 then z = 6