Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many insects that could fly as insects that couldn't fly. How many flying insects did she catch for her project?

Respuesta :

200 flying insects she catch for her project .

Step-by-step explanation:

We have , Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many insects that could fly as insects that couldn't fly. That means insects ratio of non-fly to fly is 1:8 .

There are a total of 225 insects , and for every one non fly insect there are 8 fly insects  , Let x be the number of insects that can't fly so:

[tex]x + 8x = 225[/tex]

⇒ [tex]x + 8x = 225[/tex]

⇒ [tex]9x = 225[/tex]

⇒ [tex]\frac{9}{9}x = \frac{225}{9}[/tex]

⇒ [tex]x = \frac{225}{9}[/tex]

⇒ [tex]x = 25[/tex]

So , Number of fly insects = 8x = 8(25) = 200 . ∴ 200 flying insects she catch for her project .

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