Let’s solve each problem one by one, step by step.
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Problem 1:
Captain scores 120 points. Tyger scores 15% more than Captain.
Step 1: Find 15% of 120.
→ 15% = 15/100 = 0.15
→ 0.15 × 120 = 18
Step 2: Add that to Captain’s score.
→ 120 + 18 = 138
✔ Tyger scores
138 points.
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Problem 2:
Frazer has saved 45% of $320. We need to find how much *more* he needs to save.
Step 1: Find how much he has saved.
→ 45% of 320 = 0.45 × 320 = 144
Step 2: Subtract from total cost to find what’s left.
→ 320 - 144 = 176
✔ He needs to save
$176 more.
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Problem 3:
Sally sprints 300 yards. Quadra runs 16% further.
Step 1: Find 16% of 300.
→ 0.16 × 300 = 48
Step 2: Add to Sally’s distance.
→ 300 + 48 = 348
✔ Quadra sprinted
348 yards.
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Problem 4:
Newton spends 15% of his free time reading → that equals 33 minutes.
We need to find his total free time in hours and minutes.
Step 1: Let total free time = T minutes.
→ 15% of T = 33
→ 0.15 × T = 33
→ T = 33 ÷ 0.15 = 220 minutes
Step 2: Convert 220 minutes to hours and minutes.
→ 220 ÷ 60 = 3 hours and 40 minutes (because 3×60=180, 220-180=40)
✔ Newton has
3 hours and 40 minutes of free time.
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Problem 5:
35% of the fish are angelfish → that’s 21 fish.
Find total number of fish.
Step 1: Let total fish = F
→ 35% of F = 21
→ 0.35 × F = 21
→ F = 21 ÷ 0.35 = 60
✔ There are
60 fish altogether.
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Problem 6:
Sally gives away:
- 1/4 to Tyger → that’s 25%
- 20% to Newton
- 15% to Frazer
She keeps 32 chocolates.
First, add up the percentages she gave away:
→ 25% + 20% + 15% = 60%
So she kept 100% - 60% = 40% for herself.
That 40% = 32 chocolates.
Step 1: Let total chocolates = C
→ 40% of C = 32
→ 0.40 × C = 32
→ C = 32 ÷ 0.40 = 80
✔ There were
80 chocolates in the tin.
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Final Answer:
1) 138
2) 176
3) 348
4) 3 hours and 40 minutes
5) 60
6) 80
Parent Tip: Review the logic above to help your child master the concept of finding the whole given a part and a percent worksheet.