Question 856061
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Say he invested $x in A. So amount invested in B is 5000 - x.
Total earned from A = 1.2 * x  ---> every $ becomes $1.2
Total earned from B = 1.05 * (5000 - x) ----> every $ becomes $1.05

Total = {{{1.2*x + 1.05*(5000 - x) = 5670}}}
i.e. {{{1.2*x + 5250 - 1.05*x = 5670}}}
Simplifying:
{{{0.15*x = 420}}} or {{{x = 2800}}}
So, amount invested in A is $2800, and that invested in B is $2200.
Check: 2800 becomes 2800  * 1.2 = 3360
2200 becomes 2200 * 1.05 = 2310
Total = 3360 + 2310 = 5670. Correct!


Hope this is clear :)
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