PSLE Pamela and Gwen each had a plate of dough of the same mass for making scones. The same mass of dough was used for each scone. Pamela made 35 scones and had 175 g of dough left. Gwen made 15 scones and had 1.075 kg of dough left.
- What was the mass of dough needed for each scone?
- With the remaining dough from both girls, how many more such scones can be made at most?
(a)
Difference between the number of scones made by Pamela and Gwen
= 35 - 15
= 20
1 kg = 1000 g
1.075 kg = 1.075 x 1000 = 1075 g
Difference between the remaining dough left by Gwen and Pamela
= 1075 - 175
= 900 g
Mass of 20 scones = 900 g
Mass of 1 scone
= 900 ÷ 20
= 45 g
(b)
Total remaining dough left
= 1075 + 175
= 1250 g
Sets of 45 g
= 1250 ÷ 45
= 27 r 35
Number of scones = 27
Answer(s): (a) 45 g; (b) 27