Question

each friend receives $\frac{5}{10}$

1. $\frac{2}{5}$ kilogram of soil fills $\frac{1}{3}$ of a container. can 1 kilogram of soil fit in the container? explain or show your reasoning.
2. 3 tickets to the museum cost $12.75. at this rate, what is the cost of:

• 1 ticket?
• 5 tickets?

Explanation:

For Question 2:

Step1: Find full container capacity

Let $C$ = container capacity. $\frac{2}{5} = \frac{1}{3}C$, so solve for $C$:
$$C = \frac{2}{5} \div \frac{1}{3} = \frac{2}{5} \times 3 = \frac{6}{5}$$

Step2: Compare to 1 kg

$\frac{6}{5} = 1.2$, which is greater than 1.

Step1: Calculate 1 ticket cost

Divide total cost by 3:
$$\text{Cost of 1 ticket} = \frac{12.75}{3} = 4.25$$

Step2: Calculate 5 tickets cost

Multiply 1-ticket cost by 5:
$$\text{Cost of 5 tickets} = 4.25 \times 5 = 21.25$$

Answer:

Yes, 1 kilogram of soil can fit in the container. The full container can hold $\frac{6}{5}$ (or 1.2) kilograms of soil, which is more than 1 kilogram.

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For Question 3: