SOLUTION: a group of students went hiking in a wildlife sanctuary. During the hike a total of 180 ticks and mosquitoes were slapped. If these pests has a total of 1240 legs, how many mosquit

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a group of students went hiking in a wildlife sanctuary. During the hike a total of 180 ticks and mosquitoes were slapped. If these pests has a total of 1240 legs, how many mosquit      Log On


   



Question 542825: a group of students went hiking in a wildlife sanctuary. During the hike a total of 180 ticks and mosquitoes were slapped. If these pests has a total of 1240 legs, how many mosquitoes and how many ticks were slapped during the hike?( hint: ticks have 8 legs and mmosquitoes have 6 legs)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
a group of students went hiking in a wildlife sanctuary. During the hike a total of 180 ticks and mosquitoes were slapped. If these pests has a total of 1240 legs, how many mosquitoes and how many ticks were slapped during the hike?( hint: ticks have 8 legs and mmosquitoes have 6 legs)
Mosquitos have 3 pairs of legs and ticks have one extra pairs of legs.

Do it with basic math:

1240 legs is 620 pairs of legs.  All 180 critters have 3 pairs of legs, which
accounts for 180×3 or 540 pairs.  The remaining 620-540 or 80 pairs of legs
belong to the ticks, so there were 80 ticks and therefore 180-80 or 100
mosquitoes. 

or do it with algebra:

 m +  t = 180
6m + 8t = 1240

Solve that and get m = 100, t = 80

Edwin