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13 July, 08:35

Fiona Follies is a small bakery that sells cupcakes and muffins. A cupcake sells for $3 and a muffin sells for $2. When all related business expenses are included, a cupcake costs $0.75 to prepare and a muffin costs $0.50 to prepare.

Last Monday, Fiona Follies sold at least $300 worth of cupcakes and muffins and its expenses were no more than $100.

Let x be the number of cupcakes sold last Monday.

Which ordered pairs representing a combination of cupcakesand muffins could have been sold last Monday and make sense in the context of the situation.

Select each correct answer.

[] (32.5, 140)

[] (40, 80)

[] (60, 70)

[] (79, 42.5)

[] (80, 80)

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Answers (1)
  1. 13 July, 08:49
    0
    Let x be the number of cupcakes sold and y be the number of muffins sold.

    Income earned on x cupcakes and y muffins is 3x+2y.

    And Expenses on x cupcakes and y muffins is 0.75x+0.5y.

    Given that earned money on cup cakes and muffins is at least 300$.

    That is 3x+2y ≥ 300

    And also given that expenses are no more than 100$

    That is 0.75x+0.5y ≤ 100

    Now we have to find the ordered pairs among the given options satisfying above 2 inequalities.

    a) 3x+2y = 3*32.5 + 2*140 = 377.5>300

    0.75x+0.5y = 0.75*32.5+0.5*140 = 94.375<100

    Hence first pair is satisfying.

    Like this we can conclude that (60,70) and (79,42.5) and (80,80) are also satisfying the above conditions.

    Hence correct options are a, c, d and e.
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