Last Thursday, Tommy withdrew an equal number of $10-notes and $5-notes from the bank. After spending 169 pieces of $10-notes and 22 pieces of $5-notes, the ratio of the remaining $10-notes to $5-notes became 3 : 10.
- How many $10-notes had he left?
- What was the total value of the notes which Tommy withdrew from the bank?
| |
$10-notes |
$5-notes |
| Before |
3 u + 169 |
10 u + 22 |
| Change |
- 169 |
- 22 |
| After |
3 u |
10 u |
(a)
Tommy withdrew an equal number of $10-notes and $5-notes from the bank. So, the number of notes of each type is the same.
10 u + 22 = 3 u + 169
10 u - 3 u = 169 - 22
7 u = 147
1 u = 147 ÷ 7 = 21
Number of $10 notes that Tommy had left
= 3 u
= 3 x 21
= 63
(b)
Number of each type of notes that Tommy withdrew
= 63 + 169
= 232
Value of one set of $10-note and 5-note
= 10 + 5
= $15
Total value of the notes that Tommy withdrew
= 15 x 232
= $3480
Answer(s): (a) 63; (b) $3480
