Braingle: 'Sunnies' Brain Teaser

Sunnies

Math brain teasers require computations to solve.

Puzzle ID:	#49618
Fun:	(2.82)
Difficulty:	(1.25)
Category:	Math
Submitted By:	dalfamnest

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

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

annie9698 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.
Mad-Ade 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.
dalfamnest 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.

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