Question

Mariam and Sue each had a piece of dough of the same mass for making muffins. The same mass of dough was used for each muffin. Mariam made 70 muffins and had 50g of dough left. Sue made 20 muffins and had 1.8kg of dough left.

A) What was the mass of dough needed for each muffin%3F
B) With the remaining dough from both girls%2
C how many more muffins can be made at most%3F

Answer 1

The mass of dough needed for each muffin is 35 grams, and with the remaining dough from both Mariam and Sue, they can make 52 additional muffins.

Step-by-step explanation:

To find the mass of dough needed for each muffin, we need to set up and solve an equation. If Mariam made 70 muffins plus 50g of dough left and Sue made 20 muffins with 1.8kg of dough left, the total amount of dough they started with is equal.

Let's call the mass of dough for each muffin x. Thus, Mariam's dough can be described by the equation 70x + 50g, and Sue's dough can be described by the equation 20x + 1.8kg (or 1800g). Since they both started with the same amount of dough, these two expressions are equal:

1. 70x + 50 = 20x + 1800
2. 50x = 1750
3. x = 35g

The mass of dough for each muffin is 35 grams.

To calculate the remaining dough, we add Mariam's 50g to Sue's 1800g for a total of 1850g. Since each muffin requires 35g, we divide 1850g by 35g to find the maximum number of additional muffins:

1850g / 35g/muffin ≈ 52.86

Thus, they can make 52 additional muffins with the remaining dough.