1. **Problem 2:** Molly, Paige, and Demi share 42 sweets in the ratio 3 : 2 : 1. 2. First, find the total parts of the ratio: $3 + 2 + 1 = 6$ parts. 3. Each part represents $\frac{42}{6} = 7$ sweets. 4. Calculate sweets for each: - Molly: $3 \times 7 = 21$ sweets - Paige: $2 \times 7 = 14$ sweets - Demi: $1 \times 7 = 7$ sweets --- 5. **Problem 3:** ABC is a straight line with $AC = 80$ metres, and $BC$ is three times $AB$. 6. Let $AB = x$ metres. Then $BC = 3x$ metres. 7. Since $AC = AB + BC$, we have: $$x + 3x = 80$$ $$4x = 80$$ $$x = \frac{80}{4} = 20$$ 8. Length of $BC = 3x = 3 \times 20 = 60$ metres. --- 9. **Problem 4:** Carly and James share money in ratio 5 : 3, Carly gets 70 more than James. 10. Let James' amount be $x$. Then Carly's amount is $x + 70$. 11. The ratio gives: $$\frac{x + 70}{x} = \frac{5}{3}$$ 12. Cross multiply: $$3(x + 70) = 5x$$ $$3x + 210 = 5x$$ 13. Rearranged: $$210 = 5x - 3x = 2x$$ $$x = \frac{210}{2} = 105$$ 14. James gets 105.