Last Thursday, Bryan withdrew an equal number of $2-notes and $100-notes from the bank. After spending 29 pieces of $2-notes and 13 pieces of $100-notes, the ratio of the remaining $2-notes to $100-notes became 5 : 7.
- How many $2-notes had he left?
- What was the total value of the notes which Bryan withdrew from the bank?
| |
$2-notes |
$100-notes |
| Before |
5 u + 29 |
7 u + 13 |
| Change |
- 29 |
- 13 |
| After |
5 u |
7 u |
(a)
Bryan withdrew an equal number of $2-notes and $100-notes from the bank. So, the number of notes of each type is the same.
7 u + 13 = 5 u + 29
7 u - 5 u = 29 - 13
2 u = 16
1 u = 16 ÷ 2 = 8
Number of $2 notes that Bryan had left
= 5 u
= 5 x 8
= 40
(b)
Number of each type of notes that Bryan withdrew
= 40 + 29
= 69
Value of one set of $2-note and 100-note
= 2 + 100
= $102
Total value of the notes that Bryan withdrew
= 102 x 69
= $7038
Answer(s): (a) 40; (b) $7038
