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Application 1: Bird Feed
Revisiting your bird feeders, you’ve decided to try out some new bird feed. You have two different types of bird feed, but you can’t tell which feed the birds like more. What you do know is that when you set out 3 bird feeders of type A and 2 bird feeders of type B, you saw 13 birds. And when you set out 3 bird feeders of type A and 3 of type B, you saw 15 birds. Which bird feeder attracts more birds?

Sagot :

sqdancefan

Answer:

  Type A

Step-by-step explanation:

You want to know if bird feeder Type A or Type B attracts more birds, given ...

  • 3 of A and 2 of B attracts 13 birds
  • 3 of A and 3 of B attracts 15 birds

Solution

We can subtract the first relation from the second to find the number of birds a Type B feeder attracts:

  (3A +3B) -(3A +2B) = (15) -(13)

  B = 2

Dividing the second relation by 3 gives ...

  A + B = 5

Substituting our value of B, we find ...

  A + 2 = 5

  A = 3

The type A bird feeder attracts more birds.

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