PSLE Three men, Dan, Max and Sam had the same number of notes. Max and Dan each had of mix of $50-notes and $10-notes. Max had 2 $10-notes while Dan had 14 $10-notes. Sam had only $50-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Max and Dan's notes?
- Dan used all his $50-notes to buy a present. Sam then had $1210 more than Dan. How many $50-notes did Sam have?
(a)
The three men had the same number of notes.
$10-notes have a lower denomination than $50-notes.
Dan had more $10-notes than Max while Sam had only the $50-notes.
Since Dan had the most number of $10-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 14 - 2
= 12
Difference in the value of $50-note and $10-note
= 50 - 10
= $40
Difference in the total value of Max's and Dan's notes
= 12 x 40
= $480
(c)
Value of $10-notes that Dan had left
= 14 x 10
= $140
Total value that Sam had
= 1210 + 140
= $1350
Number of $50-notes that Sam had
= 1350 ÷ 50
= 27
Answer(s): (a) Dan; (b) $480; (c) 27