PSLE Three men, Ty, Nat and Eli had the same number of notes. Nat and Ty each had of mix of $100-notes and $20-notes. Nat had 4 $20-notes while Ty had 13 $20-notes. Eli had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Nat and Ty's notes?
- Ty used all his $100-notes to buy a gift. Eli then had $1840 more than Ty. How many $100-notes did Eli have?
(a)
The three men had the same number of notes.
$20-notes have a lower denomination than $100-notes.
Ty had more $20-notes than Nat while Eli had only the $100-notes.
Since Ty had the most number of $20-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 13 - 4
= 9
Difference in the value of $100-note and $20-note
= 100 - 20
= $80
Difference in the total value of Nat's and Ty's notes
= 9 x 80
= $720
(c)
Value of $20-notes that Ty had left
= 13 x 20
= $260
Total value that Eli had
= 1840 + 260
= $2100
Number of $100-notes that Eli had
= 2100 ÷ 100
= 21
Answer(s): (a) Ty; (b) $720; (c) 21