PSLE Three men, Ian, Ray and Dan had the same number of notes. Ray and Ian each had of mix of $50-notes and $20-notes. Ray had 3 $20-notes while Ian had 16 $20-notes. Dan had only $50-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Ray and Ian's notes?
- Ian used all his $50-notes to buy a souvenir. Dan then had $830 more than Ian. How many $50-notes did Dan have?
(a)
The three men had the same number of notes.
$20-notes have a lower denomination than $50-notes.
Ian had more $20-notes than Ray while Dan had only the $50-notes.
Since Ian had the most number of $20-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 16 - 3
= 13
Difference in the value of $50-note and $20-note
= 50 - 20
= $30
Difference in the total value of Ray's and Ian's notes
= 13 x 30
= $390
(c)
Value of $20-notes that Ian had left
= 16 x 20
= $320
Total value that Dan had
= 830 + 320
= $1150
Number of $50-notes that Dan had
= 1150 ÷ 50
= 23
Answer(s): (a) Ian; (b) $390; (c) 23