Question

2.4m log is cut into lengths into the ratio 7 : 5. Find the longer length in cm.

Answer 1

140 centimeters.

Explanation:

Hello!

A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.

Find the longer length:

• 2.4 into 7:5
• 2.4 = 7x + 5x
• 2.4 = 12x
• x = 2.4/12
• x = 0.2

Now, we must find the longer length, 7x.

• 7x
• 7(0.2)
• 1.4

The longer length is 1.4 meters, but we want it in cm.

There are 100 centimeters in a meter.

• 1.4 meters = 1.4 * 100
• 1.4 meters = 140 centimeters

The longer length is 140 centimeters.