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Question

string a is 30cm longer than string b. string b is 60cm longer than string c. the total length of the string is 300cm. what is the length of string c

Answer 1

Assuming that the string is made of three parts: part a , part, b and part c .

Since the total length of the string is 300 cm, we can write the following equation:

a + b + c = 300

Then we also know that b = 60 + c and that a = 30 + b. If we substitute these expressions for b and a in the equation, we can write:

30 + b + 60 + c + c = 300

Then substitute 60 + c for b again:

30 + 60 + c + 60 + c + c = 300

Then combine like terms and use inverse operations to solve for c:

150 + 3c = 300

150 + 3c - 150 = 300 - 150

3c = 150

3c/3 = 150/3

c = 50 cm

Then b will be 60 + c = 60 + 50 = 110 cm

a will be 30 + b = 30 + 110 = 140 cm

The total will be:

a + b + c = 140 + 110 + 50 =300 cm