Last Tuesday, Elijah withdrew an equal number of $5-notes and $20-notes from the bank. After spending 109 pieces of $5-notes and 11 pieces of $20-notes, the ratio of the remaining $5-notes to $20-notes became 2 : 9.
- How many $5-notes had he left?
- What was the total value of the notes which Elijah withdrew from the bank?
| |
$5-notes |
$20-notes |
| Before |
2 u + 109 |
9 u + 11 |
| Change |
- 109 |
- 11 |
| After |
2 u |
9 u |
(a)
Elijah withdrew an equal number of $5-notes and $20-notes from the bank. So, the number of notes of each type is the same.
9 u + 11 = 2 u + 109
9 u - 2 u = 109 - 11
7 u = 98
1 u = 98 ÷ 7 = 14
Number of $5 notes that Elijah had left
= 2 u
= 2 x 14
= 28
(b)
Number of each type of notes that Elijah withdrew
= 28 + 109
= 137
Value of one set of $5-note and 20-note
= 5 + 20
= $25
Total value of the notes that Elijah withdrew
= 25 x 137
= $3425
Answer(s): (a) 28; (b) $3425
