Last Saturday, Neave withdrew an equal number of $5-notes and $10-notes from the bank. After spending 126 pieces of $5-notes and 26 pieces of $10-notes, the ratio of the remaining $5-notes to $10-notes became 2 : 7.
- How many $5-notes had he left?
- What was the total value of the notes which Neave withdrew from the bank?
|
$5-notes |
$10-notes |
Before |
2 u + 126 |
7 u + 26 |
Change |
- 126 |
- 26 |
After |
2 u |
7 u |
(a)
Neave withdrew an equal number of $5-notes and $10-notes from the bank. So, the number of notes of each type is the same.
7 u + 26 = 2 u + 126
7 u - 2 u = 126 - 26
5 u = 100
1 u = 100 ÷ 5 = 20
Number of $5 notes that Neave had left
= 2 u
= 2 x 20
= 40
(b)
Number of each type of notes that Neave withdrew
= 40 + 126
= 166
Value of one set of $5-note and 10-note
= 5 + 10
= $15
Total value of the notes that Neave withdrew
= 15 x 166
= $2490
Answer(s): (a) 40; (b) $2490