Last Friday, Andy withdrew an equal number of $5-notes and $2-notes from the bank. After spending 64 pieces of $5-notes and 18 pieces of $2-notes, the ratio of the remaining $5-notes to $2-notes became 5 : 7.
- How many $5-notes had he left?
- What was the total value of the notes which Andy withdrew from the bank?
|
$5-notes |
$2-notes |
Before |
5 u + 64 |
7 u + 18 |
Change |
- 64 |
- 18 |
After |
5 u |
7 u |
(a)
Andy withdrew an equal number of $5-notes and $2-notes from the bank. So, the number of notes of each type is the same.
7 u + 18 = 5 u + 64
7 u - 5 u = 64 - 18
2 u = 46
1 u = 46 ÷ 2 = 23
Number of $5 notes that Andy had left
= 5 u
= 5 x 23
= 115
(b)
Number of each type of notes that Andy withdrew
= 115 + 64
= 179
Value of one set of $5-note and 2-note
= 5 + 2
= $7
Total value of the notes that Andy withdrew
= 7 x 179
= $1253
Answer(s): (a) 115; (b) $1253