SOLUTION: Two athletes, Leo and Jasper, were responsible for distributing premium energy bars to the teams during a weekend tournament. Leo distributed 540 energy bars on the first day. Jasp

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Question 1210604: Two athletes, Leo and Jasper, were responsible for distributing premium energy bars to the teams during a weekend tournament. Leo distributed 540 energy bars on the first day. Jasper distributed a quantity equal to exactly 4/9 as many bars as Leo. Jasper had a remaining stock of bars that was 15% greater than the number of bars he just distributed. Leo had a remaining stock that was 2.25 times the size of Jasper’s remaining stock. Calculate the total number of energy bars Leo and Jasper had in their combined inventory before the tournament began.
Found 3 solutions by josgarithmetic, greenestamps, math_tutor2020:
Answer by josgarithmetic(39818) About Me  (Show Source):
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Combined beginning energy bar, E.
L%2BJ=E 
                                       Leo             Jasper
Remain distribution day 1            L-540             J-(4/9)540
                                     L-540             J-240


From Description
J-240=1.15%2A240
J=1.15%2A240%2B240
J=2.25%2A240----THIS STEP A MISTAKE. REST IS ALL WRONG.
J=540
and
L-540=2.25%28J-240%29
L-540=2.25%28540-240%29
L=540%2B2.25%2A300
L=1215

E=L%2BJ
E=1215%2B540
cross%28E=1755%29

Answer by greenestamps(13351) About Me  (Show Source):
You can put this solution on YOUR website!


Directly from the problem description....

Number sold by Leo: 540

Number sold by Jasper: 4/9 of 540 = 240

Number Jasper has left: 1.15 times 240 = 276

Number Leo has left: 2.25 times 276 = 581

Total combined original inventory: 540+240+276+581 = 1637

ANSWER: 1637

Answer by math_tutor2020(3837) About Me  (Show Source):
You can put this solution on YOUR website!

Both tutors josgarithmetic and greenestamps have typos in their scratch work which lead to an incorrect final answer.


The first equation josgarithmetic wrote, J-240=1.15*240, should solve to J = 516.
This then has L-540=2.25(J-240) become L = 1161.
Therefore the total should be J+L = 516+1161 = 1677


greenestamps made an error when computing 2.25 times 276 = 581
Instead it should be 2.25 times 276 = 621
So the updated calculation at the end should be
540+240+276+621 = 1677