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Brandon and Marta are mowing a lawn. For every 4 square feet that Brandon mow Marta mows 9 square feet. The lawn is 5200 square feet. How much lawn does each person mow?

Brandon and Marta are mowing a lawn. For every 44 square feet that Brandon mow Marta mows 99 square feet. The lawn is 52005200 square feet. How much lawn does each person mow?

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Q. Brandon and Marta are mowing a lawn. For every 44 square feet that Brandon mow Marta mows 99 square feet. The lawn is 52005200 square feet. How much lawn does each person mow?
  1. Calculate Ratio: Determine the ratio of the lawn area mowed by Brandon to the lawn area mowed by Marta. Brandon mows 44 square feet for every 99 square feet that Marta mows. This gives us a ratio of 4:94:9 for Brandon:Marta.
  2. Total Parts Calculation: Calculate the total parts in the ratio.\newlineThe total parts in the ratio is 44 (for Brandon) + 99 (for Marta) = 1313 parts.
  3. Square Feet per Part: Determine how many square feet each part of the ratio represents.\newlineSince the total lawn area is 52005200 square feet, we divide this by the total number of parts in the ratio.\newline52005200 square feet ÷13\div 13 parts = 400400 square feet per part.
  4. Brandon's Lawn Area: Calculate the amount of lawn mowed by Brandon.\newlineBrandon mows 44 parts of the ratio, so we multiply the square feet per part by the number of parts Brandon is responsible for.\newline400400 square feet per part ×4\times 4 parts =1600= 1600 square feet.
  5. Marta's Lawn Area: Calculate the amount of lawn mowed by Marta.\newlineMarta mows 99 parts of the ratio, so we multiply the square feet per part by the number of parts Marta is responsible for.\newline400400 square feet per part ×9\times 9 parts =3600= 3600 square feet.

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