How much was generated by each source?

Question

solar and wind energy generation totaled 1033 trillion Btu's. wind generated 52 trillion Btu's more than eight times that generated by solar energy. how much was generated by each source?

Answer 1

S=Solar and W=wind.

 

If Wind generated 52 trillion BTUS more than 8 times Solar than we can say.

 

W=52+8*S

 

And if we know that S+W=1033 we can substitute W for =>W=52+8*S 

 

So S+ (52+8S)=1033

 

Solve for S=> 9S+52=1033=> S=109 trillion Btu.

 

So Solar energy generate 109 trillion Btu. But what about Wind? You have 2 choices We can use

 

W=52+8S and Substitute S for 109. or Use S+W=1033 and substitute S for 109.

 

Ima use S +W=1033.

 

109+W=1033 => W=925 trillion Btu Check for yourself by trying the other way

 

In Conclusion Solar Generates 109 trillion Btu and Wind 925 trillion Btu