High School

1. Which baby powder is most economical?

A) R8,95
B) R32,20
C) R38,99

2. A muffin recipe calls for 3.6 lb of dates and 5.4 ounces of coconut. Determine the total cost (rands) of the dates and the coconut per muffin, if dates cost 4 cents per gram and coconut costs 25 cents per gram. This muffin recipe makes a dozen and a half muffins.
(Assume that all ingredients are equally spread per muffin.)
Use the conversions: 1 kg = 2.2046 lb; 1 oz = 28.3495 g

3. Paul and Pauline are 20-year old twins. Use the information given below to determine which twin needs to choose a healthier lifestyle:
Use the formula: BMI = mass (kg) / [height (m)]^2

| Twin | Mass | Height | BMI | Classification |
| :----- | :---- | :-------- | :----------- | :------------- |
| Paul | 76 kg | 165 cm | <18.5 | Underweight |
| Pauline | 99 lb | 60 inches | ≥ 18.5 and < 25 | Normal |
| | | | ≥ 25 and < 30 | Overweight |
| | | | ≥ 30 | Obese |

1 lb = 0.4536 kg
1 inch = 0.0254 m

Answer :

Let's address each part of the student's question step-by-step:

  1. Which baby powder is most economical?

    To determine the most economical option, we compare the prices directly. The options are:

    • A: R8,95
    • B: R32,20
    • C: R38,99

    The most economical, or least expensive, option is Option A: R8,95.

  2. Calculate the total cost of ingredients per muffin:

    The muffin recipe calls for:

    • 3.6 lb of dates
    • 5.4 oz of coconut

    First, we need to convert these into grams:

    • Dates:

      • 1 lb = 0.4536 kg, so 3.6 lb = 3.6 × 0.4536 kg = 1.63296 kg = 1632.96 g
      • Cost of dates = 1632.96 g × 0.04 (Rands per gram) = 65.3184 Rands

    • Coconut:

      • 1 oz = 28.3495 g, so 5.4 oz = 5.4 × 28.3495 g = 153.0873 g
      • Cost of coconut = 153.0873 g × 0.25 (Rands per gram) = 38.271825 Rands

    • Total cost:

      • Total cost = Cost of dates + Cost of coconut = 65.3184 + 38.271825 = 103.590225 Rands

    • Since the recipe makes 18 muffins, the cost per muffin = Total cost / 18

    • Cost per muffin = 103.590225 / 18 ≈ 5.754 Rands

  3. Determine which twin needs to choose a healthier lifestyle using BMI:

    • Paul's BMI:

      • Mass = 76 kg
      • Height = 165 cm = 1.65 m
      • BMI = [tex]\frac{76}{1.65^2}[/tex]
      • BMI ≈ 27.9
      • Classification: Overweight

    • Pauline's BMI:

      • Mass = 99 lb = 99 × 0.4536 kg = 44.8404 kg
      • Height = 60 inches = 60 × 0.0254 m = 1.524 m
      • BMI = [tex]\frac{44.8404}{1.524^2}[/tex]
      • BMI ≈ 19.3
      • Classification: Normal

    Based on BMI, Paul needs to choose a healthier lifestyle since his BMI classifies him as overweight, while Pauline's BMI is in the normal range.

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