PSLE Three men, Sam, Ari and Ty had the same number of notes. Ari and Sam each had of mix of $100-notes and $20-notes. Ari had 5 $20-notes while Sam had 17 $20-notes. Ty had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Ari and Sam's notes?
- Sam used all his $100-notes to buy a present. Ty then had $2160 more than Sam. How many $100-notes did Ty have?
(a)
The three men had the same number of notes.
$20-notes have a lower denomination than $100-notes.
Sam had more $20-notes than Ari while Ty had only the $100-notes.
Since Sam had the most number of $20-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 17 - 5
= 12
Difference in the value of $100-note and $20-note
= 100 - 20
= $80
Difference in the total value of Ari's and Sam's notes
= 12 x 80
= $960
(c)
Value of $20-notes that Sam had left
= 17 x 20
= $340
Total value that Ty had
= 2160 + 340
= $2500
Number of $100-notes that Ty had
= 2500 ÷ 100
= 25
Answer(s): (a) Sam; (b) $960; (c) 25