I'll solve each ratio problem step by step.
Problem 1:
Glue sticks to glue bottles ratio is 5:2, and there are 35 glue sticks.
- If 5 parts = 35 glue sticks, then 1 part = 35 ÷ 5 = 7
- Glue bottles = 2 parts = 2 × 7 = 14
Answer: 14 glue bottles
Problem 2:
Finished to left ratio is 4:1, and she finished 8 problems.
- If 4 parts = 8 problems finished, then 1 part = 8 ÷ 4 = 2
- Problems left = 1 part = 2
- Total problems = finished + left = 8 + 2 = 10
Answer: 10 homework problems total
Problem 3:
Total books checked out = 52, fiction books = 24
- Non-fiction books = 52 - 24 = 28
- Ratio of non-fiction to fiction = 28:24
- Simplify: divide both by 4 → 7:6
Answer: 7:6
Problem 4:
Sugar to flour ratio is 10:3, using 70 ounces of sugar.
- If 10 parts = 70 ounces, then 1 part = 70 ÷ 10 = 7
- Flour needed = 3 parts = 3 × 7 = 21 ounces
Answer: 21 ounces of flour
Problem 5:
Raisin cookies to oatmeal cookies ratio is 9:1, raisin cookies sold = 72.
- If 9 parts = 72 raisin cookies, then 1 part = 72 9 = 8
- Oatmeal cookies = 1 part = 8
- Combined total = 72 + 8 = 80
Answer: 80 cookies combined
Problem 6:
Kaleb had 136 songs, deleted 56 songs.
- Songs kept = 136 - 56 = 80
- Ratio of kept to deleted = 80:56
- Simplify: divide both by 8 → 10:7
Answer: 10:7
Problem 7:
Red cars to blue cars ratio is 5:3, red cars = 40.
- If 5 parts = 40 red cars, then 1 part = 40 ÷ 5 = 8
- Blue cars = 3 parts = 3 × 8 = 24
Answer: 24 blue cars
Problem 8:
Red apples to green apples ratio is 7:2, red apples sold = 63.
- If 7 parts = 63 red apples, then 1 part = 63 ÷ 7 = 9
- Green apples = 2 parts = 2 × 9 = 18
- Combined total = 63 + 18 = 81
Answer: 81 apples combined
Problem 9:
Total problems = 15, finished = 6.
- Still needs to complete = 15 - 6 = 9
- Ratio of needs to complete : finished = 9:6
- Simplify: divide both by 3 → 3:2
Answer: 3:2
Problem 10:
Cows to horses ratio is 9:2, cows = 72.
- If 9 parts = 72 cows, then 1 part = 72 ÷ 9 = 8
- Horses = 2 parts = 2 × 8 = 16
Answer: 16 horses
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Final Answer:
1. 14 glue bottles
2. 10 homework problems total
3. 7:6
4. 21 ounces of flour
5. 80 cookies combined
6. 10:7
7. 24 blue cars
8. 81 apples combined
9. 3:2
10. 16 horses
Parent Tip: Review the logic above to help your child master the concept of ratio problems 6th grade.
