## Sunnies

Math brain teasers require computations to solve.It was going to be another really hot day, but Ted needed a new pair of cool sunnies* before he could hit the surf. He needed another $52 to buy the ones he wanted.

Ted decided to sell home-made smoothies at his gate: $2 each, or three for $4. He had the $52 after selling 32 smoothies, stopped work and headed off to the beach.

How many smoothies had been sold at the $2 price?

* sunnies = sunglasses in New Zealand & Australia

Ted decided to sell home-made smoothies at his gate: $2 each, or three for $4. He had the $52 after selling 32 smoothies, stopped work and headed off to the beach.

How many smoothies had been sold at the $2 price?

* sunnies = sunglasses in New Zealand & Australia

### Answer

14[14 @ $2 = $28; 18 @ 3 for $4 = $24]

Solution:

If he had sold them all at $2, he would have earned $64. The $12 difference is the discount he gave to six people buying 3 for $4.

So 18 were sold at the discount price - the other 14 were sold individually.

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## Comments

Posted by annie9698 on Oct 14, 2012 what if he sold 20 @ $2 =$ 40 and 9 @ 3 for 4 = $12 Or sold 22 @ $2 = $44 and 6 @ 3 for 4 = $8 I haven't done all the math but there may be other solutions too. |

Posted by Mad-Ade on Oct 25, 2012 he could have sold 16 at $3 = $48 and two at $2 = $4 with adds up to the $52 needed. There are numerous answers to this teaser. |

Posted by dalfamnest on Nov 01, 2012 Hey guys - read the Teaser properly! If you ignore one important detail, yes, there's lots of solutions! BUT ... there's one correct solution only. Have another look. |

Posted by Eng_Masoud on Jul 07, 2013 nice 1 dude |

Posted by Jimbo on Dec 07, 2014 The teaser clearly says that he sold 32 smoothies. One solution! |

Posted by XminiX on Jun 11, 2015 I did it in a slightly more complex and an algebraic way. Let x be the number of smoothies sold which cost $2 each and let y be the number of smoothies sold from the deal of buying 3 for $4. This means 2x+(4y/3)=52 x+y also= 32 (number of smoothies sold) If you sold them simultaneously, you will get x=14 |

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