Question

Из 3 кг муки выпекают 114 пирожков. Сколько пирожков получится из 141 кг муки? •Утром испекли 1140 пирожков, а после обеда на 228 пирожков больше. Сколько муки израсходовали в этот день на пирожки?

Answer 1

Number of Pastries from 3 kg of Flour

To find out how many pastries can be made from 141 kg of flour, we can set up a proportion using the information given. We know that 3 kg of flour can make 114 pastries. Let's set up the proportion:

3 kg / 114 pastries = 141 kg / x pastries

To solve for x, we can cross-multiply and then divide:

3 kg * x pastries = 114 pastries * 141 kg

x pastries = (114 pastries * 141 kg) / 3 kg

Now we can calculate the number of pastries:

x pastries = (114 * 141) / 3 = 5398 pastries

Therefore, from 141 kg of flour, you would be able to make 5398 pastries.

Amount of Flour Used for Pastries in a Day

To calculate the amount of flour used for pastries in a day, we need to add the number of pastries baked in the morning and the number of pastries baked after lunch.

The number of pastries baked in the morning is given as 1140.

The number of pastries baked after lunch is given as 228 more than the morning batch, so it would be 1140 + 228 = 1368.

To find the total amount of flour used, we need to multiply the number of pastries by the amount of flour used per pastry. Since we know that 3 kg of flour can make 114 pastries, we can set up a proportion:

3 kg / 114 pastries = x kg / 1140 pastries

Solving for x:

x kg = (3 kg * 1140 pastries) / 114 pastries

Calculating the amount of flour used for the morning batch:

x kg = (3 * 1140) / 114 = 30 kg

Calculating the amount of flour used for the batch after lunch:

x kg = (3 * 1368) / 114 = 36 kg

Therefore, the total amount of flour used for pastries in that day would be:

30 kg (morning batch) + 36 kg (batch after lunch) = 66 kg.

So, 66 kg of flour were used for the pastries on that day.