Last Wednesday, Jenson withdrew an equal number of $5-notes and $10-notes from the bank. After spending 68 pieces of $5-notes and 26 pieces of $10-notes, the ratio of the remaining $5-notes to $10-notes became 2 : 5.
- How many $5-notes had he left?
- What was the total value of the notes which Jenson withdrew from the bank?
| |
$5-notes |
$10-notes |
| Before |
2 u + 68 |
5 u + 26 |
| Change |
- 68 |
- 26 |
| After |
2 u |
5 u |
(a)
Jenson withdrew an equal number of $5-notes and $10-notes from the bank. So, the number of notes of each type is the same.
5 u + 26 = 2 u + 68
5 u - 2 u = 68 - 26
3 u = 42
1 u = 42 ÷ 3 = 14
Number of $5 notes that Jenson had left
= 2 u
= 2 x 14
= 28
(b)
Number of each type of notes that Jenson withdrew
= 28 + 68
= 96
Value of one set of $5-note and 10-note
= 5 + 10
= $15
Total value of the notes that Jenson withdrew
= 15 x 96
= $1440
Answer(s): (a) 28; (b) $1440
