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primary 5 | Maths
| Whole Numbers
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Finding the length of the walkway
Date Posted: 5 years ago
Views: 590
Let X be the number of 5m planks Charlie needs to make the walkway.
Therefore, 5X = 3(X + 60)
Expand:
5X = 3X + 180
Subtract 3X on both sides:
2X = 180
Simplify:
X = 90
Therefore, the walkway was 5m * 90 = 450m.
Hence, the number of 2m planks needed to make the walkway is 450m / 2m = 225.
Therefore, 5X = 3(X + 60)
Expand:
5X = 3X + 180
Subtract 3X on both sides:
2X = 180
Simplify:
X = 90
Therefore, the walkway was 5m * 90 = 450m.
Hence, the number of 2m planks needed to make the walkway is 450m / 2m = 225.
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Here's a non-algebraic approach for the question.
You must notice that three 5m planks have the same length as five 3m planks. This means that you need two extra planks to cover that same distance of 15m.
Since you need 60 extra planks to cover the walkway,
2 units --> 15m
60 units --> 15 x 60 / 2 = 450 m.
You must notice that three 5m planks have the same length as five 3m planks. This means that you need two extra planks to cover that same distance of 15m.
Since you need 60 extra planks to cover the walkway,
2 units --> 15m
60 units --> 15 x 60 / 2 = 450 m.
Date Posted:
5 years ago
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