Question

Higher order thinking: Jeff finds some bugs. He finds 10 Fewer grasshoppers than crickets. He finds 5 fewer crickets than Lady bugs. If Jeff finds 5 grasshoppers, how many lady bugs does Jeff find? How many crickets does he find? Write two equations to solve the problem

Answer 1

C - 10 = g
L - 5 = C

g = 5

then altogether he finds

40 bugs

Answer 2

Let the number of grasshoppers be g

As we have: Jeff finds 10 Fewer grasshoppers than crickets.

So Number of cricket (C ) can be given by

$C=g+10......(i)$

Jeff finds 5 fewer crickets than Lady bugs.

Let the number of lady bugs be l then, we can write

$l=C+5....(ii)$

we are given g=5, substitute this in equation (i), we get

$C=5+10\\ \\ C=15$

Now substitute this value of C in equation (ii), we get

$l=15+5\\ \\ l=20$

Hence number of crickets =15