Natalie had an equal number of $100 and $2 notes. After spending 42 pieces of $2 and 10 pieces of $100 notes, the ratio of the $100 notes to $2 notes left was 5 : 1. Find the value of the notes left.
| |
$100 |
$2 |
| Before |
5 u + 10 |
1 u + 42 |
| Change |
- 10 |
- 42 |
| After |
5 u |
1 u |
Number of $100 notes at first = 5 u + 10
Number of $2 notes at first = 1 u + 42
The number of $100 and $2 notes at first is the same.
5 u + 10 = 1 u + 42
5 u - 1 u = 42 - 10
4 u = 32
1 u = 32 ÷ 4 = 8
Value of $100-notes left
= 5 u x 100
= 5 x 8 x 100
= $4000
Value of $2-notes left
= 1 u x 2
= 1 x 8 x 2
= $16
Value of notes left
= 4000 + 16
= $4016
Answer(s): $4016
