PSLE Hazel and Shannon each had a plate of dough of the same mass for making sandwiches. The same mass of dough was used for each sandwich. Hazel made 36 sandwiches and had 440 g of dough left. Shannon made 18 sandwiches and had 1.07 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 Hazel and Shannon
= 36 - 18
= 18
1 kg = 1000 g
1.07 kg = 1.07 x 1000 = 1070 g
Difference between the remaining dough left by Shannon and Hazel
= 1070 - 440
= 630 g
Mass of 18 sandwiches = 630 g
Mass of 1 sandwich
= 630 ÷ 18
= 35 g
(b)
Total remaining dough left
= 1070 + 440
= 1510 g
Sets of 35 g
= 1510 ÷ 35
= 43 r 5
Number of sandwiches = 43
Answer(s): (a) 35 g; (b) 43