Last Monday, Valen withdrew an equal number of $20-notes and $100-notes from the bank. After spending 119 pieces of $20-notes and 28 pieces of $100-notes, the ratio of the remaining $20-notes to $100-notes became 2 : 9.
- How many $20-notes had he left?
- What was the total value of the notes which Valen withdrew from the bank?
|
$20-notes |
$100-notes |
Before |
2 u + 119 |
9 u + 28 |
Change |
- 119 |
- 28 |
After |
2 u |
9 u |
(a)
Valen withdrew an equal number of $20-notes and $100-notes from the bank. So, the number of notes of each type is the same.
9 u + 28 = 2 u + 119
9 u - 2 u = 119 - 28
7 u = 91
1 u = 91 ÷ 7 = 13
Number of $20 notes that Valen had left
= 2 u
= 2 x 13
= 26
(b)
Number of each type of notes that Valen withdrew
= 26 + 119
= 145
Value of one set of $20-note and 100-note
= 20 + 100
= $120
Total value of the notes that Valen withdrew
= 120 x 145
= $17400
Answer(s): (a) 26; (b) $17400