1. Problem 6: The sixth, seventh, and eighth grades raised money for their middle school. The sixth grade raised 40% of the total, the seventh grade raised 22%, and the eighth grade raised the rest. The eighth grade raised 1368. We need to find the total amount raised by all three grades. 2. Formula: Let the total amount be $T$. The eighth grade raised the rest, so their percentage is $100\%-40\%-22\%=38\%$. 3. Since the eighth grade raised 38% of $T$, we write the equation: $$0.38T = 1368$$ 4. Solve for $T$: $$T = \frac{1368}{0.38} = 3600$$ 5. So, the total amount raised by the three grades is 3600. 6. Problem 7: Yuna and Scott ran for sixth-grade class president. Yuna received 45% of the votes. Scott received 18 more votes than Yuna. We need to find how many votes Scott received. 7. Let the total number of votes be $V$. Yuna's votes are $0.45V$. Scott's votes are $0.45V + 18$. 8. Since Yuna and Scott are the only candidates, their votes add up to $V$: $$0.45V + (0.45V + 18) = V$$ 9. Simplify: $$0.9V + 18 = V$$ 10. Subtract $0.9V$ from both sides: $$18 = V - 0.9V = 0.1V$$ 11. Solve for $V$: $$V = \frac{18}{0.1} = 180$$ 12. Scott's votes are: $$0.45V + 18 = 0.45 \times 180 + 18 = 81 + 18 = 99$$ 13. So, Scott received 99 votes.