Last Saturday, Nick withdrew an equal number of $5-notes and $20-notes from the bank. After spending 29 pieces of $5-notes and 19 pieces of $20-notes, the ratio of the remaining $5-notes to $20-notes became 3 : 5.
- How many $5-notes had he left?
- What was the total value of the notes which Nick withdrew from the bank?
| |
$5-notes |
$20-notes |
| Before |
3 u + 29 |
5 u + 19 |
| Change |
- 29 |
- 19 |
| After |
3 u |
5 u |
(a)
Nick withdrew an equal number of $5-notes and $20-notes from the bank. So, the number of notes of each type is the same.
5 u + 19 = 3 u + 29
5 u - 3 u = 29 - 19
2 u = 10
1 u = 10 ÷ 2 = 5
Number of $5 notes that Nick had left
= 3 u
= 3 x 5
= 15
(b)
Number of each type of notes that Nick withdrew
= 15 + 29
= 44
Value of one set of $5-note and 20-note
= 5 + 20
= $25
Total value of the notes that Nick withdrew
= 25 x 44
= $1100
Answer(s): (a) 15; (b) $1100
