1. The ratio is 9:8, meaning for every 9 parts Emily gets, Jessica gets 8 parts. Jessica’s share corresponds to 8 parts, and she got 42. To find the value of one part, divide 42 by 8: 42 ÷ 8 = 5.25. The total number of parts is 9 + 8 = 17. Multiply the value of one part by the total parts: 5.25 × 17 = 89.25. The total amount shared is 89.25.
2. The ratio is 1:7, meaning for every 1 part Anne gets, Sheila gets 7 parts. Sheila’s share corresponds to 7 parts, and she got 4. To find the value of one part, divide 4 by 7: 4 ÷ 7 ≈ 0.5714. The total number of parts is 1 + 7 = 8. Multiply the value of one part by the total parts: 0.5714 × 8 ≈ 4.571. The total amount shared is approximately 4.57.
3. The ratio is 1:5, meaning for every 1 part Isabella gets, Isla gets 5 parts. Isla’s share corresponds to 5 parts, and she got 5. To find the value of one part, divide 5 by 5: 5 ÷ 5 = 1. The smaller amount corresponds to Isabella’s share, which is 1 part. Therefore, the smaller amount is 1.
4. The ratio is 1:10, meaning for every 1 part Poppy gets, Sophie gets 10 parts. Poppy’s share corresponds to 1 part, and she got 16. Therefore, the value of one part is 16. The larger amount corresponds to Sophie’s share, which is 10 parts. Multiply the value of one part by 10: 16 × 10 = 160. The larger amount is 160.
Parent Tip: Review the logic above to help your child master the concept of ratio word problems worksheet.
