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A steel bar is 15 m long, correct to the nearest metre. It is to be cut into fence posts which must be 60 cm long, correct to the nearest 10 centimetres.
What is the largest number of fence posts that can possibly be cut from this bar?​

User Astuetz
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1 Answer

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Answer: The largest number of fence posts that can possibly be cut from the steel bar is 28

Explanation:

To determine the largest number of fence posts that can possibly be cut from the steel bar, we first need to find the minimum and maximum lengths of the steel bar and fence posts based on their respective measurements.

Steel bar length: 15 m, correct to the nearest meter

Minimum length: 14.5 m (0.5 m less than 15 m)

Maximum length: 15.5 m (0.5 m more than 15 m)

Fence post length: 60 cm, correct to the nearest 10 centimeters

Minimum length: 55 cm (5 cm less than 60 cm)

Maximum length: 65 cm (5 cm more than 60 cm)

Now, we convert all measurements to the same unit (e.g., centimeters).

Minimum steel bar length: 14.5 m * 100 cm/m = 1450 cm

Maximum steel bar length: 15.5 m * 100 cm/m = 1550 cm

To maximize the number of fence posts that can be cut from the steel bar, we will use the maximum steel bar length and the minimum fence post length:

Number of fence posts = Maximum steel bar length / Minimum fence post length

Number of fence posts = 1550 cm / 55 cm ≈ 28.18

Since the number of fence posts must be a whole number, we round down to the nearest whole number: 28

User Pregmatch
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