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, which gives 5.25. The total number of parts is 9 + 8 = 17. Multiply 17 by 5.25 to get the total amount shared: 17 × 5.25 = 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, which gives approximately 0.5714. The total number of parts is 1 + 7 = 8. Multiply 8 by 0.5714 to get the total amount shared: 8 × (4/7) = 32/7 ≈ 4.5714.
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, which gives 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, one part equals 16. The larger amount corresponds to Sophie’s share, which is 10 parts. Multiply 10 by 16 to get the larger amount: 10 × 16 = 160.
Parent Tip: Review the logic above to help your child master the concept of ratio proportion word problems worksheet.
