Last Friday, Luis withdrew an equal number of $5-notes and $50-notes from the bank. After spending 98 pieces of $5-notes and 26 pieces of $50-notes, the ratio of the remaining $5-notes to $50-notes became 2 : 5.
- How many $5-notes had he left?
- What was the total value of the notes which Luis withdrew from the bank?
|
$5-notes |
$50-notes |
Before |
2 u + 98 |
5 u + 26 |
Change |
- 98 |
- 26 |
After |
2 u |
5 u |
(a)
Luis withdrew an equal number of $5-notes and $50-notes from the bank. So, the number of notes of each type is the same.
5 u + 26 = 2 u + 98
5 u - 2 u = 98 - 26
3 u = 72
1 u = 72 ÷ 3 = 24
Number of $5 notes that Luis had left
= 2 u
= 2 x 24
= 48
(b)
Number of each type of notes that Luis withdrew
= 48 + 98
= 146
Value of one set of $5-note and 50-note
= 5 + 50
= $55
Total value of the notes that Luis withdrew
= 55 x 146
= $8030
Answer(s): (a) 48; (b) $8030