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A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800. A person selling 8 cars and 1 truck earns $4,600. How much does a salesperson earn for selling 2 cars and 3 trucks?

Guest Nov 19, 2014

Best Answer 

 #1
avatar+28 
+13

4800 divide by 3=1600 (2 cars 1 truck) 

4600-1600=3000 (6 cars) 

3000 divide by 3=1000 (2 cars) 

1000×2=2000 (4 cars) 

4800-2000=2800 (2 cars 3 trucks) 

JonesDaBoi  Nov 19, 2014
 #1
avatar+28 
+13
Best Answer

4800 divide by 3=1600 (2 cars 1 truck) 

4600-1600=3000 (6 cars) 

3000 divide by 3=1000 (2 cars) 

1000×2=2000 (4 cars) 

4800-2000=2800 (2 cars 3 trucks) 

JonesDaBoi  Nov 19, 2014
 #2
avatar+93356 
+10

I am really impressed by your logic JonesDaBoi  

 

I thought I might just try to do it by conventional algebra.

 

$$\\Find\;\; 2C+3T\\
6C+3T=4800 \rightarrow \;2C+1T=1600 \rightarrow \;2C=1600-1T \;\;(1)\\
8C+1T=4600 \rightarrow 1T=4600-8C \;\;(2)\\
$sub $ (2)\;\; into\;\;(1)\\
2C=1600-(4600-8C)\\
2C=1600-4600+8C\\
-6C=-3000\\
C=500\\
2C=1000\\
$sub back into (1)$\\
1000=1600-1T\\
1T=600\\
3T=1800\\
2C+3T=1000+1800=2800$$

so 2 cars and 3 Trucks are $2800

 

you know JonesDaBoi I like your solution better.   If I could give you more points I would  

Melody  Nov 19, 2014
 #3
avatar+28 
+5

Thank you Melody! 

Actually I'm just about to be a Primary 5 student... Anyway thanks again!

 

 

 

 

 

 

Regards,

JonesDaBoi  Nov 19, 2014
 #4
avatar+93356 
0

Did you see that I mentioned your great answer in my wrap tonight  :)

The address of the wrap is in the "lantern thread".  You can jump over to it from there :)

Melody  Nov 19, 2014
 #5
avatar+88898 
0

Very crafty, JonesDaBoi.......almost something right out of anciient Egyptian mathematics...!!!  (They used to solve problems in such a manner, too !!!)

 

CPhill  Nov 20, 2014

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