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

Note that fiona cannot sell decimal number of cupcakes or muffins. That's why the options A and D are false.

Consider all remaining options:

B. 40 cupcakes and 80 muffins will cost $(40·3+80·2)=$(120+160)=$280, but Fiona Follies sold at least $300 worth of cupcakes and muffins. Thus, this option is false.

C. 60 cupcakes and 70 muffins will cost $(60·3+70·2)=$(180+140)=$320. Now consider expenses. $(60·0.75+70·0.5)=$(45+35)=$80. This option is true.

E.  80 cupcakes and 80 muffins will cost $(80·3+80·2)=$(240+160)=$400. Now consider expenses. $(80·0.75+80·0.5)=$(60+40)=$100 (exactly $100). This option is true.

Answer: correct options are C and E.