Question

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)

Answer 1

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.

Answer 2

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