PSLE Three men, Nat, Tom and Max had the same number of notes. Tom and Nat each had of mix of $100-notes and $10-notes. Tom had 8 $10-notes while Nat had 17 $10-notes. Max had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Tom and Nat's notes?
- Nat used all his $100-notes to buy a souvenir. Max then had $2430 more than Nat. How many $100-notes did Max have?
(a)
The three men had the same number of notes.
$10-notes have a lower denomination than $100-notes.
Nat had more $10-notes than Tom while Max had only the $100-notes.
Since Nat had the most number of $10-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 17 - 8
= 9
Difference in the value of $100-note and $10-note
= 100 - 10
= $90
Difference in the total value of Tom's and Nat's notes
= 9 x 90
= $810
(c)
Value of $10-notes that Nat had left
= 17 x 10
= $170
Total value that Max had
= 2430 + 170
= $2600
Number of $100-notes that Max had
= 2600 ÷ 100
= 26
Answer(s): (a) Nat; (b) $810; (c) 26