Question

1. higher order thinking 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 find? how many crickets does he find? write two equations to solve the problem.

____ crickets ____ ladybugs

Explanation:

Step1: Define variables for each bug type

Let $C$ = number of crickets, $G$ = number of grasshoppers, $L$ = number of ladybugs.

Step2: Equation for crickets vs grasshoppers

Grasshoppers are 10 fewer than crickets:
$G = C - 10$
Substitute $G=5$:
$5 = C - 10$
Solve for $C$:
$C = 5 + 10 = 15$

Step3: Equation for crickets vs ladybugs

Crickets are 5 fewer than ladybugs:
$C = L - 5$
Substitute $C=15$:
$15 = L - 5$
Solve for $L$:
$L = 15 + 5 = 20$

Answer:

15 crickets
20 ladybugs
Equations: $G = C - 10$, $C = L - 5$