I'll solve each ratio problem step by step, showing my work carefully.
Problem 1a: Math club has 25 members total, 11 are males
- Males = 11
- Total members = 25
- Ratio of males to all members = 11:25
- Check if this can be simplified: 11 and 25 share no common factors (11 is prime, 25 = 5×5)
- Answer: 11:25 ✓
Problem 2a: Preschoolers with 8 boys and 24 girls
- Girls = 24
- Boys = 8
- Total children = 8 + 24 = 32
- Ratio of girls to all children = 24:32
- Simplify: Both divisible by 8 → 24÷8 = 3, 32÷8 = 4
- Answer: 3:4 ✓
Problem 3a: Preschoolers with 15 boys and 12 girls
- Girls = 12
- Boys = 15
- Ratio of girls to boys = 12:15
- Simplify: Both divisible by 3 → 12÷3 = 4, 15÷3 = 5
- Answer: 4:5 ✓
Problem 4a: Pattern with 4 blue triangles and 12 yellow triangles
- Blue triangles = 4
- Yellow triangles = 12
- Total triangles = 4 + 12 = 16
- Ratio of blue to all triangles = 4:16
- Simplify: Both divisible by 4 → 4÷4 = 1, 16÷4 = 4
- Answer: 1:4 ✓
Problem 5a: Gardening club has 21 members, 13 are males
- Males = 13
- Total members = 21
- Females = 21 - 13 = 8
- Ratio of females to all members = 8:21
- Check if this can be simplified: 8 = 2³, 21 = 3×7, no common factors
- Answer: 8:21 ✓
Problem 6a: Dylan drew 1 heart, 1 star, and 26 circles
- Circles = 26
- Hearts = 1
- Ratio of circles to hearts = 26:1
- This is already in simplest form
- Answer: 26:1 ✓
Final Answer:
1a. 11:25
2a. 3:4
3a. 4:5
4a. 1:4
5a. 8:21
6a. 26:1
Parent Tip: Review the logic above to help your child master the concept of simple ratio problems.
