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Shaka and Aaron play a game.

Shaka scores 30% of the maximum number of points. She misses the record by 15 points.

Aaron scores 40% of the maximum number of points. He exceeds the record by 35 points.

What is the maximum number of points in the game ?

 Jul 5, 2020
 #1
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record  - .3 x  = 15

.4x - record    = 35        find   record

 

 

from first equation    x = (record -15)/.3        sub into 2nd eq

 

.4 (record-15) /.3  -   recoord = 35

.4 record - 6 -  .3 record =  35 (.3)

.1 record = 10.5 + 6

record = 165 points

 

then       165 - .3x = 15

                    x= 500    max points

 Jul 5, 2020

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