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?

Step-by-step 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.

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x