PSLE Betty and Yoko each had a plate of dough of the same mass for making sandwiches. The same mass of dough was used for each sandwich. Betty made 34 sandwiches and had 470 g of dough left. Yoko made 16 sandwiches and had 1.28 kg of dough left.
- What was the mass of dough needed for each sandwich?
- With the remaining dough from both girls, how many more such sandwiches can be made at most?
(a)
Difference between the number of sandwiches made by Betty and Yoko
= 34 - 16
= 18
1 kg = 1000 g
1.28 kg = 1.28 x 1000 = 1280 g
Difference between the remaining dough left by Yoko and Betty
= 1280 - 470
= 810 g
Mass of 18 sandwiches = 810 g
Mass of 1 sandwich
= 810 ÷ 18
= 45 g
(b)
Total remaining dough left
= 1280 + 470
= 1750 g
Sets of 45 g
= 1750 ÷ 45
= 38 r 40
Number of sandwiches = 38
Answer(s): (a) 45 g; (b) 38