PSLE Barbara and Betty each had a plate of dough of the same mass for making sandwiches. The same mass of dough was used for each sandwich. Barbara made 39 sandwiches and had 290 g of dough left. Betty made 19 sandwiches and had 1.09 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 Barbara and Betty
= 39 - 19
= 20
1 kg = 1000 g
1.09 kg = 1.09 x 1000 = 1090 g
Difference between the remaining dough left by Betty and Barbara
= 1090 - 290
= 800 g
Mass of 20 sandwiches = 800 g
Mass of 1 sandwich
= 800 ÷ 20
= 40 g
(b)
Total remaining dough left
= 1090 + 290
= 1380 g
Sets of 40 g
= 1380 ÷ 40
= 34 r 20
Number of sandwiches = 34
Answer(s): (a) 40 g; (b) 34