Question

Jeff finds some bugs. He finds 10 fewer grasshoppers than crickets. He finds 5 fewer crickets than ladybugs. If jeff finds 5 grasshoppers, how many ladybugs does jeff finf? How many crickets does he find?

Answer 1

15 crickets

20 ladybugs

Explanation:

Let number of grasshoppers be "g"

Let number of crickets be "c"

Let number of ladybugs be "l"

10 fewer grasshopper than crickets, so we may write:

g + 10 = c

5 fewer crickets than ladybugs, so we may write:

c + 5 = l

Given, 5 grasshoppers, so using first equation we find c:

g + 10 = c

5 + 10 = c

c = 15

Then using this value in 2nd equation, we find "l":

c + 5 = l

15 + 5 = l

l = 20

So,

5 grasshoppers

15 crickets

20 ladybugs