PSLE Barbara and Kimberly 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 38 sandwiches and had 190 g of dough left. Kimberly made 18 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 Kimberly
= 38 - 18
= 20
1 kg = 1000 g
1.09 kg = 1.09 x 1000 = 1090 g
Difference between the remaining dough left by Kimberly and Barbara
= 1090 - 190
= 900 g
Mass of 20 sandwiches = 900 g
Mass of 1 sandwich
= 900 ÷ 20
= 45 g
(b)
Total remaining dough left
= 1090 + 190
= 1280 g
Sets of 45 g
= 1280 ÷ 45
= 28 r 20
Number of sandwiches = 28
Answer(s): (a) 45 g; (b) 28