Don nvestd part ofher mony @8% &the remaindr @10%.f she investd 400,000 &she rcvd a total of37,000 n nterst.Hw much dd she nvest n each rate?

 Don invested part of her money @8% & the remainder @10%.

 If she invested 400,000 & she received a total of 37,000 in interest.

 How much did she invest in each rate?

 0.08x + 0.1(400,000 - x) = 37,000

 x = 150,000.

 Don invested 150,000 @8% rate and 250,00 @10% rate.

(a * 8 %) + (b * 10 %) = 37000

0.08a + 0.1b = 37000 → given that: a + b = 400000 → a = 400000 - b

0.08.(400000 - b) + 0.1b = 37000

32000 - 0.08b + 0.1b = 37000

0.02b = 5000

b = 5000/0.02

b = 250000 → recall: a = 400000 - b → a = 150000

Resume:

150000 @ 8 %

250000 @ 10 %