PSLE Three men, Zac, Don and Ray had the same number of notes. Don and Zac each had of mix of $100-notes and $20-notes. Don had 16 $20-notes while Zac had 23 $20-notes. Ray had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Don and Zac's notes?
- Zac used all his $100-notes to buy a present. Ray then had $2540 more than Zac. How many $100-notes did Ray have?
(a)
The three men had the same number of notes.
$20-notes have a lower denomination than $100-notes.
Zac had more $20-notes than Don while Ray had only the $100-notes.
Since Zac had the most number of $20-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 23 - 16
= 7
Difference in the value of $100-note and $20-note
= 100 - 20
= $80
Difference in the total value of Don's and Zac's notes
= 7 x 80
= $560
(c)
Value of $20-notes that Zac had left
= 23 x 20
= $460
Total value that Ray had
= 2540 + 460
= $3000
Number of $100-notes that Ray had
= 3000 ÷ 100
= 30
Answer(s): (a) Zac; (b) $560; (c) 30