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16 May, 02:12

You have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.65 each. Your budget allows you to spend $27.80 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy?

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  1. 16 May, 05:06
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    32 daffodils bulbs and 28 crocus bulbs

    Step-by-step explanation:

    Assuming 'x' as Crocus and 'y' as daffodil. Now we'll form equations.

    -> for 60 small flowering bulbs

    x+y=60

    x=60-y - -->eq (1)

    ->Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.65 each with the budget $27.80

    0.25x + 0.65y = 27.80 - ->eq (2)

    Next is to substitute x=60-y in eq (2)

    (2) = >0.25 (60-y) + 0.65y = 27.80

    15 - 0.25y + 0.65y = 27.80

    0.4y = 12.8

    y = 12.8 / 0.4

    y = 32 daffodil bulbs

    Now, plugging the value of y in eq (1)

    (1) = >x=60-32

    x = 28

    x=28 crocus bulbs

    Therefore, you can buy 32 daffodils bulbs and 28 crocus bulbs
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