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