Question

A ruler 30cm long is broken down into parts in the ratio 5:7 how long are the two parts

(step by step)​

Answer 1

Explanation:

To find the lengths of the two parts, we'll follow these steps:

Step 1: Determine the total ratio

The given ratio is 5:7, which means there are a total of 5 + 7 = 12 parts.

Step 2: Calculate the length of each part

Divide the total length of the ruler (30 cm) by the total number of parts (12) to find the length of each part.

30 cm / 12 = 2.5 cm

Step 3: Calculate the length of the first part

Multiply the length of each part by the ratio value for the first part (5).

2.5 cm × 5 = 12.5 cm

Step 4: Calculate the length of the second part

Multiply the length of each part by the ratio value for the second part (7).

2.5 cm × 7 = 17.5 cm

Therefore, the two parts of the ruler are 12.5 cm and 17.5 cm long, respectively.

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Answer 2

To find the lengths of the two parts, we'll follow these steps:

Step 1: Determine the total number of parts.

The ratio is given as 5:7, which means the total number of parts is 5 + 7 = 12.

Step 2: Calculate the length of each part.

To calculate the length of each part, we divide the total length of the ruler (30 cm) by the total number of parts (12).

Let's denote the length of the first part as x cm and the length of the second part as y cm.

We can set up the following equation:

x + y = 30

Step 3: Calculate the length of the first part.

Using the given ratio, the first part is represented by 5 parts out of 12 parts. Therefore, we can express the length of the first part in terms of the total length and the total number of parts:

x = (5/12) * 30

Step 4: Calculate the length of the second part.

Similarly, the length of the second part is represented by 7 parts out of 12 parts. Therefore, we can express the length of the second part in terms of the total length and the total number of parts:

y = (7/12) * 30

Now, let's calculate the lengths of the two parts:

x = (5/12) * 30 = 12.5 cm

y = (7/12) * 30 = 17.5 cm

Hence, the length of the first part is 12.5 cm, and the length of the second part is 17.5 cm.

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