Shawn S.

asked • 07/03/14

Word Problem

In a certian year, solar and wind energy generation totaled 1015 trillion BTUs. Wind generated 52 trillion btus eight times that generated by solar energy. How much was generated by each source?
 
Solar energy generated __trillion BTU and wind energy generated ___ trillion Btus

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Pebble H. answered • 07/03/14

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If wind is 52 more than 8 times solar, then:
 
solar = s; wind = w;  s + w = total
wind = 8s + 52
total = s + 8s + 52 = 1015
simplify....
 
s + 8s = 9s
9s + 52 (- 52) = 1015 (- 52)
9s = 963
s = 107
w = 8(107) + 52
w = 908  
so....
 
s + w = 107 + 908 = 1015
 
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Muhammad C. answered • 07/03/14

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Did you mean 52 trillion more than 8 times that generated by solar energy?
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Shawn S.

Yes.
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07/03/14

Muhammad C.

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Okay 
 
Let x = solar energy
 
Let 8x + 52 = wind energy
 
x + 8x + 52 = 1015
 
9x + 52 = 1015 subtract 52 from both sides
 
9x = 963 divide by 9 on both sides
 
x = 107
 
Solar energy generated 107 trillion BTUs. Wind energy generated 908 trillion BTUs. 
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07/03/14

Muhammad C.

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Okay
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07/03/14

Pebble H.

If you did mean 52 trillion MORE than 8 times solar, then:
solar = s,  wind = 52 + 8s,  total = 1015 = s + 52 + 8s   or:
9s + 52 = 1015
9s = 1015 - 52 = 963
s (solar) = 107
wind = 52 + 8(107) = 908
so...solar (107) + wind (908) = 1015
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07/03/14

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