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Forty-five roses, plus some number of daffodils and tulips, are blooming in a garden.
Four times as many daffodils as roses are blooming, and 15 more tulips than roses are
blooming. Then a gardener uses all of the flowers to make identical bouquets. What is
the maximum number of bouquets the gardener could have made?

Sagot :

The maximum number of of bouquets the gardener could have made is 3

How to find unknown parameter

Total = 45

let

  • number of daffodils = x
  • number of tulips = y

Roses = 4x

Tulips = 4x + 15

Total = roses + daffodils + tulips

45 = 4x + x + (4x + 15)

45 = 5x + 4x + 15

45 = 9x + 15

45 - 15 = 9x

30 = 9x

x = 30/9

x = 3.33333333333333

Approximately,

x = 3

Let more about equation:

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