PSLE Three men, Jim, Tim and Gus had the same number of notes. Tim and Jim each had of mix of $100-notes and $50-notes. Tim had 6 $50-notes while Jim had 12 $50-notes. Gus had only $100-notes.
- Of the three men, who had the least money?
- What was the difference in the total value of Tim and Jim's notes?
- Jim used all his $100-notes to buy a gift. Gus then had $1600 more than Jim. How many $100-notes did Gus have?
(a)
The three men had the same number of notes.
$50-notes have a lower denomination than $100-notes.
Jim had more $50-notes than Tim while Gus had only the $100-notes.
Since Jim had the most number of $50-notes, he had the least money.
(b)
Difference in the number of notes of different values
= 12 - 6
= 6
Difference in the value of $100-note and $50-note
= 100 - 50
= $50
Difference in the total value of Tim's and Jim's notes
= 6 x 50
= $300
(c)
Value of $50-notes that Jim had left
= 12 x 50
= $600
Total value that Gus had
= 1600 + 600
= $2200
Number of $100-notes that Gus had
= 2200 ÷ 100
= 22
Answer(s): (a) Jim; (b) $300; (c) 22