Granola Bar Boxes
Math brain teasers require computations to solve.
Mr. Smith needs snacks for all the students going on a field trip. He bought 9 boxes of granola bars containing a total of 88 bars. He wanted variety, so he purchased 3 different flavors, which happened to come from 3 different companies. The almond chunky granola bars were packaged 8 to a box, the chewy chocolate chip bars came 10 to a box, and the super special raisin nut package contained 12 per box. He bought the most boxes of almond chunky, but had the most raisin nut bars.
How many boxes of each flavor did he buy?
HintMake a chart, and guess and check.
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Answer
Mr. Smith bought 4 boxes of almond chunky, 2 boxes of chewy chocolate chip, and 3 boxes of super special raisin nut granola bars.
4*8+2*10+3*12=88.
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Comments
WJSMama  
Jan 07, 2006
| That was fun. I got it. Yay for me!  |
bigSWAFF_69_  
Jan 07, 2006
| Nice and simple challenge, good job  |
mr_brainiac
Jan 29, 2006
| Good puzzle, using as much logic as algebra to solve a "story problem". Not as easy as it first seemed, a bit of a good challenge |
jvs13
May 16, 2007
| Let
A = almond chunky
C = chocolate chip
S = super raisin
Given:
first: 8A + 10C + 12S = 88
second: A + C + S = 9
third: (A>C) and (A>C)
By multiplying second equation by 8 and subtracting it to the first equation,
C = 8- 2S
where in reality, 0 |
jvs13
May 16, 2007
| where in reality, 0 |
jvs13
May 16, 2007
| Only S=3 will satisfy the third condition.
Therefore:
S=3
C=2
A=4 |
javaguru
Feb 05, 2009
| The ratio of almond to raisin boxes must exceed the ratio of the number in each box, which is 2::3. The least number of boxes this is possible with is 3::4. So I started knowing these were the minimum number of almond and raisin boxes which are 3x12=36 plus 4x8=32. It's pretty easy to see the only possibility to make 88 is to add two boxes of ten each.
The clue regarding the total number of boxes is not needed.
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