Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the numbe

Question

3 years ago

6

r of crickets. Find the number of
each type of insect that she has.

crickets and
grasshoppers

1 answer:

Daniel [21] · Answer 1 · 2022-05-24T13:16:53+03:00

Answer:

<em>Arielle has 374 grasshoppers and 187 crickets</em>

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