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vesna_86 [32]
3 years ago
14

The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long i

s wire a
Mathematics
1 answer:
Oksana_A [137]3 years ago
6 0

Answer:

a = 145\ cm

Step-by-step explanation:

Given

a + b + c = 445

a = 45 + b

b = \frac{1}{2}c

Required

Determine the length of a

Solve for c in b = \frac{1}{2}c

2 * b = \frac{1}{2}c * 2

2b  = c

c = 2b

Substitute c = 2b and a = 45 + b in a + b + c = 445

a + b + c = 445

45 + b + b + 2b = 445

45 + 4b = 445

Solve for 4b

4b = 445 - 45

4b = 400

Solve for b

b = 400/4

b = 100

Recall that: a = 45 + b

a=45+100

a = 145\ cm

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