Mary had an equal number of $2 and $50 notes. After spending 46 pieces of $50 and 34 pieces of $2 notes, the ratio of the $2 notes to $50 notes left was 7 : 5. Find the value of the notes left.
| |
$2 |
$50 |
| Before |
7 u + 34 |
5 u + 46 |
| Change |
- 34 |
- 46 |
| After |
7 u |
5 u |
Number of $2 notes at first = 7 u + 34
Number of $50 notes at first = 5 u + 46
The number of $2 and $50 notes at first is the same.
7 u + 34 = 5 u + 46
7 u - 5 u = 46 - 34
2 u = 12
1 u = 12 ÷ 2 = 6
Value of $2-notes left
= 7 u x 2
= 7 x 6 x 2
= $84
Value of $50-notes left
= 5 u x 50
= 5 x 6 x 50
= $1500
Value of notes left
= 84 + 1500
= $1584
Answer(s): $1584
