A wheat bag contained 45 kg 500 g of wheat, out of which 29 kg 750 g of wheat was sold. How much of wheat is left in the bag? Out of 7 kg 200 g of grapes, 4 kg 750 g of grapes were... A wheat bag contained 45 kg 500 g of wheat, out of which 29 kg 750 g of wheat was sold. How much of wheat is left in the bag? Out of 7 kg 200 g of grapes, 4 kg 750 g of grapes were spoiled and had to be thrown away. How many kilograms of grapes were left? Read more

Steps to Solve

1. Identify the total quantity of wheat in kg and g

   The total amount of wheat is given as ( 45 ) kg ( 500 ) g. First, we need to convert this to grams: $$ 45 \text{ kg} = 45 \times 1000 = 45000 \text{ g} $$ So, the total amount of wheat in grams is: $$ 45000 \text{ g} + 500 \text{ g} = 45500 \text{ g} $$

2. Determine the amount of wheat sold

   The problem states that ( 29 ) kg ( 750 ) g of wheat was sold. We also convert this to grams: $$ 29 \text{ kg} = 29 \times 1000 = 29000 \text{ g} $$ Adding the grams: $$ 29000 \text{ g} + 750 \text{ g} = 29750 \text{ g} $$

3. Calculate the remaining quantity of wheat

   To find out how much wheat is left, subtract the amount sold from the total amount: $$ 45500 \text{ g} - 29750 \text{ g} = 15750 \text{ g} $$

4. Convert the remaining quantity back to kg and g

   Now convert ( 15750 ) g back into kg and g:

   • $$ \text{kg} = \left\lfloor \frac{15750}{1000} \right\rfloor = 15 \text{ kg} $$
   • Remaining grams are: $$ 15750 - 15000 = 750 \text{ g} $$

5. Final result

   The final answer for the remaining wheat is ( 15 ) kg ( 750 ) g.