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Sunnies

Math brain teasers require computations to solve.

 

Puzzle ID:#49618
Fun:*** (2.84)
Difficulty:** (1.41)
Category:Math
Submitted By:dalfamnestAnz******

 

 

 



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

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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-AdeAhu*
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.
dalfamnestAnz*
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.
Eng_MasoudAeg
Jul 07, 2013

nice 1 dude
Jimbo*au*
Dec 07, 2014

The teaser clearly says that he sold 32 smoothies. One solution!
XminiX
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
Babe*
Apr 17, 2016

I got the same answer as Annie and thought I was correct. I never was very good at math though, but it was fun trying to figure it out.
catmomAus*
Apr 17, 2016

Omg do you have any idea how many years ago I took Algebra? (the x & y stuff that was algebra wasn't it) I saved myself a headache and just looked at the answer.
GusG
Apr 17, 2016

Thanks, XminiX!
FatHeadAus*
Apr 17, 2016

Jimbo, he asked how many had been sold at $2 each, not how many had been sold.
fishmedAus*
Apr 17, 2016

nice. I did not figure it out, but saw how it worked after the fact. Good one.

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