PSLE Three boys, Nat, Hal and Dan had the same number of notes. Nat and Hal each had of mix of $5-notes and $2-notes. Nat had 2 $2-notes while Hal had 19 $2-notes. Dan had only $5-notes.
- Of the three boys, who had the most money?
- What was the difference in the total value of Nat and Hal's notes?
- Hal used all his $5-notes to buy a souvenir. He then had $92 less than Dan. How many $5-notes did Dan have?
(a)
The three boys had the same number of notes.
$2-notes have a lower denomination than $5-notes.
Since Dan had only $5-notes, he had the most money.
(b)
Difference in the number of notes of different values
= 19 - 2
= 17
Difference in the value of $5-notes and $2-notes
= 5 - 2
= $3
Difference in the total value of Nat's and Hal's notes
= 17 x 3
= $51
(c)
Value of $2-notes that Hal had left
= 19 x 2
= $38
Total value that Dan had
= 92 + 38
= $130
Number of $5-notes that Dan had
= 130 ÷ 5
= 26
Answer(s): (a) Dan; (b) $51; (c) 26