Last Saturday, Tim withdrew an equal number of $2-notes and $100-notes from the bank. After spending 76 pieces of $2-notes and 26 pieces of $100-notes, the ratio of the remaining $2-notes to $100-notes became 7 : 9.
- How many $2-notes had he left?
- What was the total value of the notes which Tim withdrew from the bank?
| |
$2-notes |
$100-notes |
| Before |
7 u + 76 |
9 u + 26 |
| Change |
- 76 |
- 26 |
| After |
7 u |
9 u |
(a)
Tim withdrew an equal number of $2-notes and $100-notes from the bank. So, the number of notes of each type is the same.
9 u + 26 = 7 u + 76
9 u - 7 u = 76 - 26
2 u = 50
1 u = 50 ÷ 2 = 25
Number of $2 notes that Tim had left
= 7 u
= 7 x 25
= 175
(b)
Number of each type of notes that Tim withdrew
= 175 + 76
= 251
Value of one set of $2-note and 100-note
= 2 + 100
= $102
Total value of the notes that Tim withdrew
= 102 x 251
= $25602
Answer(s): (a) 175; (b) $25602
