Question

A baker uses 90 grams of salt for each batch of bread. Salt comes in a 36-kilogram package or a 1,900-gram package. Which size package should the baker buy so that no salt is left after all of the batches are made? Explain

Select the correct choice below and fill in the answerr box(es) to complete your choice.
A. A 36-kilogram package contains grams of salt, which can be divided evenly into batches of bread. So, the baker should choose the 36-kilogram package.
B. Since 1,900 grams can be divided evenly into batches of bread, 90 divides evenly into 1,900. So, the baker should choose the 1,900-gram package.

Answer 1

After converting the 36-kilogram package to grams, we find that it can be divided evenly into batches requiring 90 grams each. The 1,900-gram package does not divide evenly and would leave leftover salt. Thus, the baker should choose the 36-kilogram package.

Step-by-step explanation:

The student's question is about which size package of salt a baker should buy to ensure no salt is left after making all of the batches of bread. To find the answer, we need to check if the amount of salt required for one batch divides evenly into the package sizes available.

For the 36-kilogram package, we convert kilograms to grams: 36 kg × 1000 = 36000 grams. Since 36000 divided by 90 equals 400, it means the entire 36 kg can be used to make exactly 400 batches with no salt left over. Option A is viable.

For the 1900-gram package, we divide 1900 by 90. The result is approximately 21.11, which is not a whole number. Consequently, there would be a fractional batch of bread with a 1900-gram package, meaning some salt would be wasted. Option B is not viable.

Therefore, the baker should choose the 36-kilogram package.