PSLE Three men, Ace, Sam and Dan had the same number of notes. Sam and Ace each had of mix of $100-notes and $10-notes. Sam had 2 $10-notes while Ace had 10 $10-notes. Dan had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Sam and Ace's notes?
- Ace used all his $100-notes to buy a present. Dan then had $1700 more than Ace. How many $100-notes did Dan have?
(a)
The three men had the same number of notes.
$10-notes have a lower denomination than $100-notes.
Ace had more $10-notes than Sam while Dan had only the $100-notes.
Since Ace had the most number of $10-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 10 - 2
= 8
Difference in the value of $100-note and $10-note
= 100 - 10
= $90
Difference in the total value of Sam's and Ace's notes
= 8 x 90
= $720
(c)
Value of $10-notes that Ace had left
= 10 x 10
= $100
Total value that Dan had
= 1700 + 100
= $1800
Number of $100-notes that Dan had
= 1800 ÷ 100
= 18
Answer(s): (a) Ace; (b) $720; (c) 18