Last Wednesday, Cole withdrew an equal number of $20-notes and $5-notes from the bank. After spending 53 pieces of $20-notes and 26 pieces of $5-notes, the ratio of the remaining $20-notes to $5-notes became 7 : 10.
- How many $20-notes had he left?
- What was the total value of the notes which Cole withdrew from the bank?
| |
$20-notes |
$5-notes |
| Before |
7 u + 53 |
10 u + 26 |
| Change |
- 53 |
- 26 |
| After |
7 u |
10 u |
(a)
Cole withdrew an equal number of $20-notes and $5-notes from the bank. So, the number of notes of each type is the same.
10 u + 26 = 7 u + 53
10 u - 7 u = 53 - 26
3 u = 27
1 u = 27 ÷ 3 = 9
Number of $20 notes that Cole had left
= 7 u
= 7 x 9
= 63
(b)
Number of each type of notes that Cole withdrew
= 63 + 53
= 116
Value of one set of $20-note and 5-note
= 20 + 5
= $25
Total value of the notes that Cole withdrew
= 25 x 116
= $2900
Answer(s): (a) 63; (b) $2900
