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# linear word problem

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1049
5

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
+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
Sort:

#1
+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
#2
+91919
+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
+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
+91919
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
+83953
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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