`4/5` of 5 kg apples were used on Monday. The next day `1/3` of what was left was used. Weight (in kg) of apples left now is:

Options

A. `2/7`
B. `1/14`
C. `2/3`
D. `4/21`

Answer

To solve the problem step-by-step, we will follow the instructions given in the question:

### Step 1: Calculate the amount of apples used on Monday.
We know that `4/5` of `5 kg` apples were used on Monday.

To find out how much was used:
\[ \text{Apples used on Monday} = \frac{4}{5} \times 5 \text{ kg} \]
Calculating this gives:
\[ \frac{4 \times 5}{5} = 4 \text{ kg} \]

### Step 2: Calculate the amount of apples left after Monday.
Initially, there were `5 kg` of apples. After using `4 kg` on Monday, the remaining apples are:
\[ \text{Apples left} = 5 \text{ kg} - 4 \text{ kg} = 1 \text{ kg} \]

### Step 3: Calculate the amount of apples used on Tuesday.
On Tuesday, `1/3` of the remaining apples (which is `1 kg`) were used.

To find out how much was used:
\[ \text{Apples used on Tuesday} = \frac{1}{3} \times 1 \text{ kg} \]
Calculating this gives:
\[ \frac{1}{3} \text{ kg} \]

### Step 4: Calculate the weight of apples remaining after Tuesday.
Now, we need to find out how many apples are left after using `1/3 kg` on Tuesday.

We have `1 kg` left after Monday, and we used `1/3 kg` on Tuesday:
\[ \text{Apples remaining} = 1 \text{ kg} - \frac{1}{3} \text{ kg} \]

To perform this subtraction, we can convert `1 kg` into a fraction with a common denominator:
\[ 1 \text{ kg} = \frac{3}{3} \text{ kg} \]
Now, we can subtract:
\[ \text{Apples remaining} = \frac{3}{3} \text{ kg} - \frac{1}{3} \text{ kg} = \frac{2}{3} \text{ kg} \]

### Final Answer:
The weight of apples left now is \(\frac{2}{3} \text{ kg}\).

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