Last Monday, Tom withdrew an equal number of $2-notes and $5-notes from the bank. After spending 134 pieces of $2-notes and 29 pieces of $5-notes, the ratio of the remaining $2-notes to $5-notes became 2 : 7.
- How many $2-notes had he left?
- What was the total value of the notes which Tom withdrew from the bank?
| |
$2-notes |
$5-notes |
| Before |
2 u + 134 |
7 u + 29 |
| Change |
- 134 |
- 29 |
| After |
2 u |
7 u |
(a)
Tom withdrew an equal number of $2-notes and $5-notes from the bank. So, the number of notes of each type is the same.
7 u + 29 = 2 u + 134
7 u - 2 u = 134 - 29
5 u = 105
1 u = 105 ÷ 5 = 21
Number of $2 notes that Tom had left
= 2 u
= 2 x 21
= 42
(b)
Number of each type of notes that Tom withdrew
= 42 + 134
= 176
Value of one set of $2-note and 5-note
= 2 + 5
= $7
Total value of the notes that Tom withdrew
= 7 x 176
= $1232
Answer(s): (a) 42; (b) $1232
