PSLE Three boys, Tom, Luc and Joe had the same number of notes. Tom and Luc each had of mix of $20-notes and $5-notes. Tom had 3 $5-notes while Luc had 16 $5-notes. Joe had only $20-notes.
- Of the three boys, who had the most money?
- What was the difference in the total value of Tom and Luc's notes?
- Luc used all his $20-notes to buy a present. He then had $440 less than Joe. How many $20-notes did Joe have?
(a)
The three boys had the same number of notes.
$5-notes have a lower denomination than $20-notes.
Since Joe had only $20-notes, he had the most money.
(b)
Difference in the number of notes of different values
= 16 - 3
= 13
Difference in the value of $20-notes and $5-notes
= 20 - 5
= $15
Difference in the total value of Tom's and Luc's notes
= 13 x 15
= $195
(c)
Value of $5-notes that Luc had left
= 16 x 5
= $80
Total value that Joe had
= 440 + 80
= $520
Number of $20-notes that Joe had
= 520 ÷ 20
= 26
Answer(s): (a) Joe; (b) $195; (c) 26