Response:
Let’s label grasshoppers as G, crickets as C, and ladybugs as L.
The data provides the following:
Jeff finds 5 grasshoppers:
G=5
He has 10 less grasshoppers than crickets, indicated by equation (1):
C=G+10 (1)
Substituting G:
C=5+10
C=15 >>>This represents the number of crickets
He has 5 fewer crickets than ladybugs, represented by equation (2):
L=C+5 (2)
By replacing C with 15, we get:
L=15+5
L=20 >>>This shows the quantity of ladybugs
Thus, the result is:
Jeff finds 15 crickets and 20 ladybugs