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Identify food items with a decrease in both month-on-month and year-on-year percentage change.

Mathematics

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Step-by-step solution

4 steps
  1. Identify food items with a decrease in both month-on-month and year-on-year percentage change.

    We look for negative values in both "YEAR ON YEAR" and "MONTH ON MONTH" columns.

    • For 750 ml sunflower oil: Year-on-year change is −12.7%-12.7\% and month-on-month change is −2.3%-2.3\%. Both are decreases.
    • For Oranges per kg: Year-on-year change is −8.9%-8.9\% and month-on-month change is −14.5%-14.5\%. Both are decreases.

    The food items are 750 ml sunflower oil and Oranges per kg.

  2. Determine the missing value, A.

    Value A is the total price in May 2022. We sum all the prices in the "MAY 2022" column.

    A=12.60+45.56+52.97+40.68+22.07+37.73+86.80A = 12.60 + 45.56 + 52.97 + 40.68 + 22.07 + 37.73 + 86.80 A=R298.41A = \text{R}298.41

    The missing value is R298.41\boxed{\text{R}298.41}.

  3. Calculate the price of a dozen eggs during May 2022.

    From the table, the price of "Eggs 1,5 dozen tray" in May 2022 is R52.97.
    Since 1.5 dozen=1.5×12=18 eggs1.5 \text{ dozen} = 1.5 \times 12 = 18 \text{ eggs}, the price for 18 eggs is R52.97.
    To find the price of 1 dozen (12 eggs), we divide the price of 1.5 dozen by 1.5.

    Price per dozen=R52.971.5\text{Price per dozen} = \frac{\text{R}52.97}{1.5} Price per dozen=R35.3133...\text{Price per dozen} = \text{R}35.3133...

    Rounding to two decimal places for currency:

    Price per dozen=R35.31\text{Price per dozen} = \text{R}35.31

    The price of a dozen eggs during May 2022 is R35.31\boxed{\text{R}35.31}.

  4. Write down the unit ratio for the price of oranges in May 2022 to the price of oranges in May 2023.

    Price of oranges in May 2022 = R22.07
    Price of oranges in May 2023 = R20.10
    The ratio is May 2022 price : May 2023 price.

    Ratio=22.07:20.10\text{Ratio} = 22.07 : 20.10

    To express this in the form 1:…1 : \dots, we divide both sides by the first term (22.07).

    1:20.1022.071 : \frac{20.10}{22.07} 1:0.91073855...1 : 0.91073855...

    Rounding to three decimal places:

    1:0.9111 : 0.911

    The unit ratio is 1:0.911\boxed{1 : 0.911}.

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