Question 1126786
total 13,500
one part at 12%, let it be x
the other, at 5%, will be 13,500 - x
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0.12x + 0.05(13,500 - x) = 1,165
0.12x + 675 - 0.05x = 1,165
0.07x = 490
x = 490/0.07
x = 7,000 he borrowed 7,000 from the bank
and 13,500 - 7,000 = 6,500 from his sister
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check:
0.12(7000) + 0.05(6,500) = 1,165
840 + 325= 1,165 Correct