Let’s go step by step through each problem. We’ll count the items, then find ratios and proportions as asked.
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Problem 1: Fish
We see:
- 1 yellow fish
- 3 blue fish
→ Total fish = 1 + 3 = 4
a) Ratio of yellow fish to blue fish → yellow : blue =
1 : 3
b) Proportion of fish that are yellow → yellow / total =
1/4
c) Proportion of fish that are blue → blue / total =
3/4
✔ Check: 1/4 + 3/4 = 1 → makes sense!
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Problem 2: Frogs and Crickets
Count them:
Frogs: Let’s count — there are 4 frogs (first, third, fourth, seventh in line)
Crickets: The rest — second, fifth, sixth → that’s 3 crickets
Total creatures = 4 + 3 = 7
a) Ratio of frogs to crickets → frogs : crickets =
4 : 3
b) Proportion that are frogs → frogs / total =
4/7
c) Proportion that are crickets → crickets / total =
3/7
✔ Check: 4/7 + 3/7 = 1 → correct!
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Problem 3: Dolphins and Fish
Look at the pictures:
Dolphins: first, second, fourth → that’s 3 dolphins
Fish: third, fifth → that’s 2 fish
Total sea creatures = 3 + 2 = 5
a) Ratio of dolphins to fish → dolphins : fish =
3 : 2
b) Proportion that are dolphins → dolphins / total =
3/5
c) Proportion that are fish → fish / total =
2/5
✔ Check: 3/5 + 2/5 = 1 → perfect!
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Final Answer:
1)
a) 1 : 3
b) 1/4
c) 3/4
2)
a) 4 : 3
b) 4/7
c) 3/7
3)
a) 3 : 2
b) 3/5
c) 2/5
Parent Tip: Review the logic above to help your child master the concept of ratio and proportion worksheet 6th grade.