The number of $10, $20 and $100 notes in a piggy bank is in the ratio of 5 : 9 : 5. The notes are worth $8030 altogether. Find the total number of $20 and $100 notes.
|
$10 |
$20 |
$100 |
Total |
Number |
5 u |
9 u |
5 u |
|
Value |
$10 |
$20 |
$100 |
|
Total value |
50 u |
180 u |
500 u |
$8030 |
Total value of $10, $20 and $100 notes
= 50 u + 180 u + 500 u
= 730 u
730 u = 8030
1 u = 8030 ÷ 730 = 11
Number of $20 and $100 notes
= 9 u + 5 u
= 14 u
= 14 x 11
= 154
Answer(s): 154