Last Thursday, Nick withdrew an equal number of $2-notes and $100-notes from the bank. After spending 90 pieces of $2-notes and 10 pieces of $100-notes, the ratio of the remaining $2-notes to $100-notes became 2 : 7.
- How many $2-notes had he left?
- What was the total value of the notes which Nick withdrew from the bank?
| |
$2-notes |
$100-notes |
| Before |
2 u + 90 |
7 u + 10 |
| Change |
- 90 |
- 10 |
| After |
2 u |
7 u |
(a)
Nick 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 + 10 = 2 u + 90
7 u - 2 u = 90 - 10
5 u = 80
1 u = 80 ÷ 5 = 16
Number of $2 notes that Nick had left
= 2 u
= 2 x 16
= 32
(b)
Number of each type of notes that Nick withdrew
= 32 + 90
= 122
Value of one set of $2-note and 100-note
= 2 + 100
= $102
Total value of the notes that Nick withdrew
= 102 x 122
= $12444
Answer(s): (a) 32; (b) $12444
