Last Tuesday, Caden withdrew an equal number of $10-notes and $2-notes from the bank. After spending 50 pieces of $10-notes and 17 pieces of $2-notes, the ratio of the remaining $10-notes to $2-notes became 4 : 7.
- How many $10-notes had he left?
- What was the total value of the notes which Caden withdrew from the bank?
| |
$10-notes |
$2-notes |
| Before |
4 u + 50 |
7 u + 17 |
| Change |
- 50 |
- 17 |
| After |
4 u |
7 u |
(a)
Caden withdrew an equal number of $10-notes and $2-notes from the bank. So, the number of notes of each type is the same.
7 u + 17 = 4 u + 50
7 u - 4 u = 50 - 17
3 u = 33
1 u = 33 ÷ 3 = 11
Number of $10 notes that Caden had left
= 4 u
= 4 x 11
= 44
(b)
Number of each type of notes that Caden withdrew
= 44 + 50
= 94
Value of one set of $10-note and 2-note
= 10 + 2
= $12
Total value of the notes that Caden withdrew
= 12 x 94
= $1128
Answer(s): (a) 44; (b) $1128
