The values from the given situations are required.
The number is 48.
Cost of lawn tractor is $140.
Cost of TV without remote is $387.
Let [tex]x[/tex] be the number
[tex]2(x+(-38))=20\\\Rightarrow x-38=\dfrac{20}{2}\\\Rightarrow x=10+38\\\Rightarrow x=48[/tex]
The number is 48.
[tex]x[/tex] = Cost of lawn tractor
[tex]y[/tex] = Cost of accessories
Cost of lawn tractor is twice of the accessories
[tex]x=2y[/tex]
Total cost of lawn tractor and accessories is $210
[tex]x+y=210\\\Rightarrow 2y+y=210\\\Rightarrow y=\dfrac{210}{3}\\\Rightarrow y=70[/tex]
Cost of lawn tractor is [tex]x=2y=2\times 70=140[/tex]
[tex]x[/tex] = Cost of TV
[tex]y[/tex] = Cost of remote
Cost of TV and remote is $649
Cost is $125 more than the cost without remote control
[tex]x+y=649[/tex]
[tex]x-y=125[/tex]
Adding the equations we get
[tex]2x=649+125\\\Rightarrow x=\dfrac{649+125}{2}\\\Rightarrow x=387[/tex]
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