NavGanitMateby NavGreen Compute, AustraliaBased on Victorian Curriculum Mathematics v2.0
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Rates and unit comparisons

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In a community garden in Melbourne, a plot is divided into 88 equal sections for growing vegetables. Each section requires 59 litres of water per week to maintain optimal growth.

What is the total weekly water requirement for the entire plot, in litres? Express your answer as an exact integer.

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Two red counters for every three blue counters. Red:blue = 2:3. There are 5 counters in all, so the red fraction of the whole is 2/5.RedRedBlueBlueBlue2 red : 3 blue · 5 counters in all
Red:blue = 2:3. There are 5 counters in all, so the red fraction of the whole is 2/5.
Translate a situation into a model. With a fixed charge of $4 and $2 per kilometre, cost C = 4 + 2d. At d = 3 km the cost is $10. Assume this tariff applies for the trip.$4 + $2/kmDefine tariff→C = 4 + 2dBuild rule→d=3 → C=$10Interpret
With a fixed charge of $4 and $2 per kilometre, cost C = 4 + 2d. At d = 3 km the cost is $10. Assume this tariff applies for the trip.

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Worked solution

  1. The plot is divided into 88 equal sections, and each section requires 59 litres of water per week.
  2. To find the total weekly water requirement, multiply the number of sections by the water required per section.
  3. The calculation is: 88 × 59 litres.
  4. Use the distributive property: 88 × 59 = 88 × (60 - 1) = (88 × 60) - (88 × 1).
  5. Calculate 88 × 60: 88 × 60 = 5280.
  6. Calculate 88 × 1: 88 × 1 = 88.
  7. Subtract: 5280 - 88 = 5192.
  8. The total weekly water requirement is 5192 litres.
  9. Verify by direct multiplication: 88 × 59.
  10. Set up vertical multiplication: 88 × 59. First, 88 × 9 = 792. Then, 88 × 50 = 4400. Add: 792 + 4400 = 5192.
  11. The result matches: 5192 litres.
  12. The total weekly water requirement for the entire plot is 5192 litres.

Reference answer: 5192 litres

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