Question

Ms. Suzie invested $35,000​ in two​ accounts, one yielding ​6% interest and the other yielding ​11%. If she received a total of​ $2900 in interest at the end of the​ year, how much did she invest in each​ account?

Answer 1

Explanation:

6% = 0.06

11% = 0.11

x + y = 35,000 ....................... (1)

0.06x + 0.11y = 2,900 .......... (2)

(1) × 0.06 - (2)

0.06y - 0.11y = 0.06 × 35,000 - 2,900

- 0.05y = - 800

y = 16,000

x = 19,000

Ms. Suzie invested $19,000 in 6% interest​ account and $16,000 in 11% interest account.