Question

Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has.

crickets and
grasshoppers

Answer 1

Answer:

Arielle has 374 grasshoppers and 187 crickets

Step-by-step explanation:

Let's set:

x = number of grasshoppers

y = number of crickets

Arielle has a collection of 561 insects, thus:

x + y = 561            [1]

The number of grasshoppers is twice the number of crickets, thus:

x = 2y                   [2]

Substituting [2] in [1]:

2y + y = 561

Simplifying:

3y = 561

Dividing by 3:

y = 561/3

y = 187

From [2]:

x = 2*187 = 374

x = 374

Arielle has 374 grasshoppers and 187 crickets