PSLE Three boys, Dan, Tom and Ari had the same number of notes. Dan and Tom each had of mix of $20-notes and $5-notes. Dan had 7 $5-notes while Tom had 19 $5-notes. Ari had only $20-notes.
- Of the three boys, who had the most money?
- What was the difference in the total value of Dan and Tom's notes?
- Tom used all his $20-notes to buy a present. He then had $485 less than Ari. How many $20-notes did Ari have?
(a)
The three boys had the same number of notes.
$5-notes have a lower denomination than $20-notes.
Since Ari had only $20-notes, he had the most money.
(b)
Difference in the number of notes of different values
= 19 - 7
= 12
Difference in the value of $20-notes and $5-notes
= 20 - 5
= $15
Difference in the total value of Dan's and Tom's notes
= 12 x 15
= $180
(c)
Value of $5-notes that Tom had left
= 19 x 5
= $95
Total value that Ari had
= 485 + 95
= $580
Number of $20-notes that Ari had
= 580 ÷ 20
= 29
Answer(s): (a) Ari; (b) $180; (c) 29