Fractions, decimals and percentages word problems | KS3 | Teachit - Free Printable

Problem Analysis and Solutions:

The problems provided involve fractions, decimals, and percentages. Let's solve each problem step by step.

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#### Problem 1:
Question:
Ariel and Tyrone are planning a party and have hired a bubble machine which contains 2 bottles of Bubble mixture. The party is a huge success and Ariel only needed to use 1/4 of the bottles of Bubble mixture from the machine. How many bottles of Bubble mixture are left?

Solution:
1. Total bottles of Bubble mixture initially: 2 bottles.
2. Ariel used 1/4 of the bottles.
- To find how much she used:
\[
\text{Bottles used} = \frac{1}{4} \times 2 = \frac{2}{4} = \frac{1}{2} \text{ bottle}.
\]
3. Bottles remaining:
\[
\text{Remaining bottles} = \text{Total bottles} - \text{Bottles used} = 2 - \frac{1}{2} = \frac{4}{2} - \frac{1}{2} = \frac{3}{2} \text{ bottles}.
\]

Answer:
\[
\boxed{\frac{3}{2}}
\]

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#### Problem 2:
Question:
Patrick baked banana bread in different cake pans for his cake sale. He slices each cake into 7 pieces and sells 2 slices from each cake for Families and Friends. After the first day, he has sold 6 cakes worth of slices. What fraction of the total slices did Patrick sell?

Solution:
1. Each cake is sliced into 7 pieces.
2. Patrick sells 2 slices per cake.
3. After the first day, he sold slices from 6 cakes.
- Total slices sold:
\[
\text{Slices sold} = 6 \times 2 = 12 \text{ slices}.
\]
4. Total slices available from 6 cakes:
\[
\text{Total slices} = 6 \times 7 = 42 \text{ slices}.
\]
5. Fraction of slices sold:
\[
\text{Fraction sold} = \frac{\text{Slices sold}}{\text{Total slices}} = \frac{12}{42}.
\]
6. Simplify the fraction:
\[
\frac{12}{42} = \frac{2}{7}.
\]

Answer:
\[
\boxed{\frac{2}{7}}
\]

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#### Problem 3:
Question:
Clara buys 9 pizzas and divides them equally between 10 people. Reflect a fraction of a whole pizza does each person get?

Solution:
1. Total pizzas: 9.
2. Total people: 10.
3. Each person gets an equal share of the pizzas:
\[
\text{Pizza per person} = \frac{\text{Total pizzas}}{\text{Total people}} = \frac{9}{10}.
\]

Answer:
\[
\boxed{\frac{9}{10}}
\]

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#### Problem 4:
Question:
Four cans of lemonade and 8 cups of water make a punch. What fraction of the whole batch is each cup?

Solution:
1. Total liquid components:
- Lemonade: 4 cans.
- Water: 8 cups.
2. Total number of parts (cans + cups):
\[
\text{Total parts} = 4 + 8 = 12.
\]
3. Each cup represents 1 part out of the total 12 parts.
- Fraction of the whole batch per cup:
\[
\text{Fraction per cup} = \frac{1}{12}.
\]

Answer:
\[
\boxed{\frac{1}{12}}
\]

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#### Problem 5:
Question:
If it starts raining, Mr. Walker collects rainwater in a big plastic jug in the playground at the rate of 0.4 liters per minute. If there are 30 minutes of heavy rain, how many liters will be in the jug after 15 minutes? How many after an hour?

Solution:
1. Rate of rain collection: 0.4 liters per minute.
2. Rain duration:
- For 15 minutes:
\[
\text{Liters collected in 15 minutes} = 0.4 \times 15 = 6 \text{ liters}.
\]
- For 60 minutes (1 hour):
\[
\text{Liters collected in 60 minutes} = 0.4 \times 60 = 24 \text{ liters}.
\]

Answers:
- After 15 minutes: \(\boxed{6}\) liters.
- After 60 minutes: \(\boxed{24}\) liters.

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#### Problem 6:
Question:
A bar of chocolate is divided into 4 squares. If 1 and 0.3 of the bar have been eaten, how many squares of chocolate are left?

Solution:
1. Total squares in the bar: 4 squares.
2. Squares eaten:
- First, 1 square is eaten.
- Then, 0.3 of the bar is eaten. Since the bar is divided into 4 squares, 0.3 of the bar is:
\[
0.3 \times 4 = 1.2 \text{ squares}.
\]
- Total squares eaten:
\[
1 + 1.2 = 2.2 \text{ squares}.
\]
3. Squares remaining:
\[
\text{Squares left} = \text{Total squares} - \text{Squares eaten} = 4 - 2.2 = 1.8 \text{ squares}.
\]

Answer:
\[
\boxed{1.8}
\]

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Final Answers:

1. \(\boxed{\frac{3}{2}}\)
2. \(\boxed{\frac{2}{7}}\)
3. \(\boxed{\frac{9}{10}}\)
4. \(\boxed{\frac{1}{12}}\)
5. After 15 minutes: \(\boxed{6}\) liters; After 60 minutes: \(\boxed{24}\) liters.
6. \(\boxed{1.8}\) squares.