PSLE Three men, Gus, Nat and Dan had the same number of notes. Nat and Gus each had of mix of $100-notes and $20-notes. Nat had 5 $20-notes while Gus had 23 $20-notes. Dan had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Nat and Gus's notes?
- Gus used all his $100-notes to buy a present. Dan then had $2340 more than Gus. How many $100-notes did Dan have?
(a)
The three men had the same number of notes.
$20-notes have a lower denomination than $100-notes.
Gus had more $20-notes than Nat while Dan had only the $100-notes.
Since Gus had the most number of $20-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 23 - 5
= 18
Difference in the value of $100-note and $20-note
= 100 - 20
= $80
Difference in the total value of Nat's and Gus's notes
= 18 x 80
= $1440
(c)
Value of $20-notes that Gus had left
= 23 x 20
= $460
Total value that Dan had
= 2340 + 460
= $2800
Number of $100-notes that Dan had
= 2800 ÷ 100
= 28
Answer(s): (a) Gus; (b) $1440; (c) 28