Calculating Additional Apples Required for Baking a Cake

Sam had a specific amount of apples, but unfortunately, some of them were not suitable for baking a cake. By going through the necessary steps, we can determine exactly how many more kilograms of apples Sam needs to buy to reach the desired amount for baking. Let's break down the process step by step.

Initial Amount and Rotten Apples

Sam initially had 1/2 kg of apples. Out of these, 1/5 kg were rotten. We need to find out how many good apples Sam has for baking.

Good apples  Initial apples - Rotten apples  1/2 kg - 1/5 kg

To perform this calculation, we need a common denominator. The least common multiple of 2 and 5 is 10.

Converting to a common denominator:

1/2  5/10 1/5  2/10

Now subtract:

Good apples  5/10 - 2/10  3/10 kg

Additional Apples Needed for Baking

Sam needs 2 kg of apples to bake a cake. Therefore, we need to calculate how many more kilograms of apples he needs to buy.

Additional apples needed  Required apples - Good apples  2 kg - 3/10 kg

To perform this calculation, we convert 2 kg to tenths:

2 kg  20/10 kg

Now subtract:

Additional apples needed  20/10 - 3/10  17/10 kg  1.7 kg

Thus, Sam needs to buy 1.7 kg more apples to make enough for baking.

Alternative Methods

There are other ways to solve this problem, and some steps can be simplified. For instance:

Sam initially had 500 grams of apples, and 1/5 of it was rotten. So, 500 grams / 5 100 grams were rotten.

Hence, the good apples available are 500 grams - 100 grams 400 grams or 0.4 kg.

To make 2000 grams or 2 kg, he would need an additional 1600 grams. In kilograms, that's 1.6 kg.

Conclusion

In conclusion, Sam needs to buy 1.6 kg more apples to reach the required 2 kg for baking a cake. Understanding these calculations can be crucial for anyone looking to manage resources effectively, ensuring they have enough ingredients to complete a recipe successfully.