PSLE Three boys, Ben, Joe and Eli had the same number of notes. Ben and Joe each had of mix of $20-notes and $2-notes. Ben had 8 $2-notes while Joe had 16 $2-notes. Eli had only $20-notes.
- Of the three boys, who had the most money?
- What was the difference in the total value of Ben and Joe's notes?
- Joe used all his $20-notes to buy a gift. He then had $388 less than Eli. How many $20-notes did Eli have?
(a)
The three boys had the same number of notes.
$2-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
= 16 - 8
= 8
Difference in the value of $20-notes and $2-notes
= 20 - 2
= $18
Difference in the total value of Ben's and Joe's notes
= 8 x 18
= $144
(c)
Value of $2-notes that Joe had left
= 16 x 2
= $32
Total value that Eli had
= 388 + 32
= $420
Number of $20-notes that Eli had
= 420 ÷ 20
= 21
Answer(s): (a) Eli; (b) $144; (c) 21