Last Thursday, Rael withdrew an equal number of $10-notes and $2-notes from the bank. After spending 39 pieces of $10-notes and 15 pieces of $2-notes, the ratio of the remaining $10-notes to $2-notes became 5 : 8.
- How many $10-notes had he left?
- What was the total value of the notes which Rael withdrew from the bank?
| |
$10-notes |
$2-notes |
| Before |
5 u + 39 |
8 u + 15 |
| Change |
- 39 |
- 15 |
| After |
5 u |
8 u |
(a)
Rael withdrew an equal number of $10-notes and $2-notes from the bank. So, the number of notes of each type is the same.
8 u + 15 = 5 u + 39
8 u - 5 u = 39 - 15
3 u = 24
1 u = 24 ÷ 3 = 8
Number of $10 notes that Rael had left
= 5 u
= 5 x 8
= 40
(b)
Number of each type of notes that Rael withdrew
= 40 + 39
= 79
Value of one set of $10-note and 2-note
= 10 + 2
= $12
Total value of the notes that Rael withdrew
= 12 x 79
= $948
Answer(s): (a) 40; (b) $948
