Last Sunday, Luke withdrew an equal number of $10-notes and $5-notes from the bank. After spending 65 pieces of $10-notes and 30 pieces of $5-notes, the ratio of the remaining $10-notes to $5-notes became 4 : 9.
- How many $10-notes had he left?
- What was the total value of the notes which Luke withdrew from the bank?
| |
$10-notes |
$5-notes |
| Before |
4 u + 65 |
9 u + 30 |
| Change |
- 65 |
- 30 |
| After |
4 u |
9 u |
(a)
Luke withdrew an equal number of $10-notes and $5-notes from the bank. So, the number of notes of each type is the same.
9 u + 30 = 4 u + 65
9 u - 4 u = 65 - 30
5 u = 35
1 u = 35 ÷ 5 = 7
Number of $10 notes that Luke had left
= 4 u
= 4 x 7
= 28
(b)
Number of each type of notes that Luke withdrew
= 28 + 65
= 93
Value of one set of $10-note and 5-note
= 10 + 5
= $15
Total value of the notes that Luke withdrew
= 15 x 93
= $1395
Answer(s): (a) 28; (b) $1395
