Let's solve each problem step by step and identify the impossible/trick problem.
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Problem 1:
A shop sells 100 chocolate, vanilla, and strawberry ice creams. 40% of the ice creams sold are vanilla, and 30% are strawberry. How many chocolate ice creams are sold?
#### Solution:
- Total ice creams = 100
- Vanilla ice creams = 40% of 100 = \( 0.4 \times 100 = 40 \)
- Strawberry ice creams = 30% of 100 = \( 0.3 \times 100 = 30 \)
- Chocolate ice creams = Total ice creams - (Vanilla + Strawberry)
\( = 100 - (40 + 30) = 100 - 70 = 30 \)
Answer: 30 chocolate ice creams
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Problem 2:
An animal park has lions, tigers, and zebras. 20% of the animals are lions, and half the animals are zebras. If there are 120 animals at the park, how many lions are there?
#### Solution:
- Total animals = 120
- Lions = 20% of 120 = \( 0.2 \times 120 = 24 \)
- Zebras = Half of the animals = \( \frac{120}{2} = 60 \)
- Tigers = Total animals - (Lions + Zebras)
\( = 120 - (24 + 60) = 120 - 84 = 36 \)
Answer: 24 lions
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Problem 3:
LA Galaxy have won 60% of their soccer matches. If they have played 40 matches, how many have they won?
#### Solution:
- Total matches played = 40
- Matches won = 60% of 40 = \( 0.6 \times 40 = 24 \)
Answer: 24 matches won
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Problem 4:
A car can travel 400 miles on a full tank of petrol. A more efficient car can travel 30% further. How many miles further can it travel on a tank?
#### Solution:
- Original distance = 400 miles
- Additional distance = 30% of 400 = \( 0.3 \times 400 = 120 \) miles
Answer: 120 miles further
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Problem 5:
In a fruit survey, 30 children choose their favorite fruit out of apples, bananas, and watermelon. 10% chose apples, 30% chose bananas. How many children chose watermelon?
#### Solution:
- Total children = 30
- Children who chose apples = 10% of 30 = \( 0.1 \times 30 = 3 \)
- Children who chose bananas = 30% of 30 = \( 0.3 \times 30 = 9 \)
- Children who chose watermelon = Total children - (Apples + Bananas)
\( = 30 - (3 + 9) = 30 - 12 = 18 \)
Answer: 18 children chose watermelon
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Problem 6:
In a traffic survey of 80 vehicles (bikes, buses, and cars), \( \frac{3}{4} \) of the vehicles were cars and 20% were buses. How many buses were there?
#### Solution:
- Total vehicles = 80
- Cars = \( \frac{3}{4} \) of 80 = \( \frac{3}{4} \times 80 = 60 \)
- Buses = 20% of 80 = \( 0.2 \times 80 = 16 \)
- Bikes = Total vehicles - (Cars + Buses)
\( = 80 - (60 + 16) = 80 - 76 = 4 \)
Answer: 16 buses
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Problem 7:
In Salamanderville, there is a 24% chance it will rain on any given day. How many days of rain would you expect in 50 days?
#### Solution:
- Probability of rain = 24% = 0.24
- Expected number of rainy days in 50 days = \( 0.24 \times 50 = 12 \)
Answer: 12 days of rain
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Problem 8:
Sally either walks, cycles, or drives to work. She walks about 15% of the time. In 100 days, how many times would she cycle?
#### Solution:
- Total days = 100
- Days Sally walks = 15% of 100 = \( 0.15 \times 100 = 15 \)
- The problem does not provide the percentage of days Sally cycles or drives. Without this information, we cannot determine how many days she cycles.
Answer: Impossible to solve without additional information.
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Identifying the Impossible/Trick Problem:
The impossible/trick problem is
Problem 8, as it lacks sufficient information to determine how many days Sally cycles.
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Final Answer:
\[
\boxed{8}
\]
Parent Tip: Review the logic above to help your child master the concept of solving percent problems worksheet.
