Irene had an equal number of $10 and $1 notes. After spending 46 pieces of $1 and 18 pieces of $10 notes, the ratio of the $10 notes to $1 notes left was 7 : 5. Find the value of the notes left.
| |
$10 |
$1 |
| Before |
7 u + 18 |
5 u + 46 |
| Change |
- 18 |
- 46 |
| After |
7 u |
5 u |
Number of $10 notes at first = 7 u + 18
Number of $1 notes at first = 5 u + 46
The number of $10 and $1 notes at first is the same.
7 u + 18 = 5 u + 46
7 u - 5 u = 46 - 18
2 u = 28
1 u = 28 ÷ 2 = 14
Value of $10-notes left
= 7 u x 10
= 7 x 14 x 10
= $980
Value of $1-notes left
= 5 u x 1
= 5 x 14 x 1
= $70
Value of notes left
= 980 + 70
= $1050
Answer(s): $1050
