Last Wednesday, Will withdrew an equal number of $2-notes and $20-notes from the bank. After spending 66 pieces of $2-notes and 30 pieces of $20-notes, the ratio of the remaining $2-notes to $20-notes became 5 : 7.
- How many $2-notes had he left?
- What was the total value of the notes which Will withdrew from the bank?
| |
$2-notes |
$20-notes |
| Before |
5 u + 66 |
7 u + 30 |
| Change |
- 66 |
- 30 |
| After |
5 u |
7 u |
(a)
Will withdrew an equal number of $2-notes and $20-notes from the bank. So, the number of notes of each type is the same.
7 u + 30 = 5 u + 66
7 u - 5 u = 66 - 30
2 u = 36
1 u = 36 ÷ 2 = 18
Number of $2 notes that Will had left
= 5 u
= 5 x 18
= 90
(b)
Number of each type of notes that Will withdrew
= 90 + 66
= 156
Value of one set of $2-note and 20-note
= 2 + 20
= $22
Total value of the notes that Will withdrew
= 22 x 156
= $3432
Answer(s): (a) 90; (b) $3432
