Last Friday, Luis withdrew an equal number of $100-notes and $10-notes from the bank. After spending 58 pieces of $100-notes and 19 pieces of $10-notes, the ratio of the remaining $100-notes to $10-notes became 2 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Luis withdrew from the bank?
| |
$100-notes |
$10-notes |
| Before |
2 u + 58 |
5 u + 19 |
| Change |
- 58 |
- 19 |
| After |
2 u |
5 u |
(a)
Luis withdrew an equal number of $100-notes and $10-notes from the bank. So, the number of notes of each type is the same.
5 u + 19 = 2 u + 58
5 u - 2 u = 58 - 19
3 u = 39
1 u = 39 ÷ 3 = 13
Number of $100 notes that Luis had left
= 2 u
= 2 x 13
= 26
(b)
Number of each type of notes that Luis withdrew
= 26 + 58
= 84
Value of one set of $100-note and 10-note
= 100 + 10
= $110
Total value of the notes that Luis withdrew
= 110 x 84
= $9240
Answer(s): (a) 26; (b) $9240
