Remy has $14,000 to split between a fund paying 4% and a fund paying 7%. To earn 6.1% on the whole amount, how much should go into the 4% fund?

1. Let x be the dollars invested at 4%, so 14,000 - x goes in at 7%. 2. The target interest is 6.1% of 14,000 dollars, which is 854 dollars. 3. Write the interest equation: 0.04x plus 0.07(14,000 - x) equals 854. 4. Distribute: 0.04x plus 980 minus 0.07x equals 854. 5. Combine: 980 minus 0.03x equals 854, so 0.03x equals 126. 6. Divide by 0.03: x equals 4,200 dollars in the 4% fund. 7. The option of $9,800 is the amount that belongs in the 7% fund, the trap for reporting the other account. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_