Question

the white string is 280 cm longer than the blue string.After cutting away 700 cm from each of the strings, the white string is 6 times as the blue string. What is the length of the blue string?​

Answer 1

Let's denote the length of the blue string as "B" and the length of the white string as "W."

From the information given, we can create two equations:

1. W = B + 280 (The white string is 280 cm longer than the blue string.)
2. After cutting 700 cm from each string: W - 700 = 6(B - 700) (The white string is 6 times the length of the blue string after cutting 700 cm from each.)

Now, let's substitute the value of W from the first equation into the second equation:

B + 280 - 700 = 6(B - 700)

Simplify the equation:

B - 420 = 6B - 4200

Now, subtract B from both sides:

-420 = 5B - 4200

Add 4200 to both sides:

3780 = 5B

Finally, divide both sides by 5:

B = 756

So, the length of the blue string is 756 cm.