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## 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

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

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

Yes.
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.
Okay
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