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

#1**+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**+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**+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**+5 **

Thank you Melody!

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

Regards,

JonesDaBoi
Nov 19, 2014

#4**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**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