PSLE Three boys, Tom, Jim and Eli had the same number of notes. Tom and Jim each had of mix of $20-notes and $5-notes. Tom had 11 $5-notes while Jim had 20 $5-notes. Eli had only $20-notes.
- Of the three boys, who had the most money?
- What was the difference in the total value of Tom and Jim's notes?
- Jim used all his $20-notes to buy a present. He then had $440 less than Eli. How many $20-notes did Eli have?
(a)
The three boys had the same number of notes.
$5-notes have a lower denomination than $20-notes.
Since Eli had only $20-notes, he had the most money.
(b)
Difference in the number of notes of different values
= 20 - 11
= 9
Difference in the value of $20-notes and $5-notes
= 20 - 5
= $15
Difference in the total value of Tom's and Jim's notes
= 9 x 15
= $135
(c)
Value of $5-notes that Jim had left
= 20 x 5
= $100
Total value that Eli had
= 440 + 100
= $540
Number of $20-notes that Eli had
= 540 ÷ 20
= 27
Answer(s): (a) Eli; (b) $135; (c) 27