22. Apples are placed in boxes each containing 6 layers of apples. If each apple has a weight of 40 grams and all the apples weighed 6 kg altogether, calculate: a) how many apples were packed in ONE box? Answer. \( \qquad \) (1) b) how many apples were there in EACH layer? Answer. \( \qquad \) (1) c) the total mass of box and apples if the ernpty box has a mass of 2 kg 150 g .

To tackle this fruity math puzzle, let's break it down step by step! First, we know that all the apples together weigh 6 kg, which equals 6000 grams. Since each apple weighs 40 grams, we can find out how many apples there are by dividing the total weight by the weight of one apple: \[ \frac{6000 \text{ grams}}{40 \text{ grams/apple}} = 150 \text{ apples} \] Now, if the apples are placed in boxes with 6 layers, we can calculate how many apples are packed in one box. Since the problem doesn’t specify how many boxes are used, let’s assume all apples fit in one box: \[ \text{Apples per layer} = \frac{150 \text{ apples}}{6 \text{ layers}} = 25 \text{ apples/layer} \] Finally, let’s calculate the total mass of the box and apples. First, convert the mass of the empty box to grams: \[ 2 \text{ kg} + 150 \text{ g} = 2150 \text{ grams} \] Now, add this to the weight of all apples: \[ 2150 \text{ grams} + 6000 \text{ grams} = 8150 \text{ grams} \] Thus, the total mass of the box and apples is 8150 grams or 8.15 kg. So to summarize: a) 150 apples in ONE box. b) 25 apples in EACH layer. c) The total mass of box and apples is 8.15 kg.