PSLE Three men, Don, Nat and Ike had the same number of notes. Nat and Don each had of mix of $100-notes and $50-notes. Nat had 5 $50-notes while Don had 20 $50-notes. Ike had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Nat and Don's notes?
- Don used all his $100-notes to buy a present. Ike then had $2000 more than Don. How many $100-notes did Ike have?
(a)
The three men had the same number of notes.
$50-notes have a lower denomination than $100-notes.
Don had more $50-notes than Nat while Ike had only the $100-notes.
Since Don had the most number of $50-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 20 - 5
= 15
Difference in the value of $100-note and $50-note
= 100 - 50
= $50
Difference in the total value of Nat's and Don's notes
= 15 x 50
= $750
(c)
Value of $50-notes that Don had left
= 20 x 50
= $1000
Total value that Ike had
= 2000 + 1000
= $3000
Number of $100-notes that Ike had
= 3000 ÷ 100
= 30
Answer(s): (a) Don; (b) $750; (c) 30