Fiona had an equal number of $1 and $10 notes. After spending 50 pieces of $10 and 22 pieces of $1 notes, the ratio of the $1 notes to $10 notes left was 8 : 1. Find the value of the notes left.
| |
$1 |
$10 |
| Before |
8 u + 22 |
1 u + 50 |
| Change |
- 22 |
- 50 |
| After |
8 u |
1 u |
Number of $1 notes at first = 8 u + 22
Number of $10 notes at first = 1 u + 50
The number of $1 and $10 notes at first is the same.
8 u + 22 = 1 u + 50
8 u - 1 u = 50 - 22
7 u = 28
1 u = 28 ÷ 7 = 4
Value of $1-notes left
= 8 u x 1
= 8 x 4 x 1
= $32
Value of $10-notes left
= 1 u x 10
= 1 x 4 x 10
= $40
Value of notes left
= 32 + 40
= $72
Answer(s): $72
