Caden has 11 notes. There are only five-dollar notes and ten-dollar notes. The total amount of money is $85. How many ten-dollar notes does Caden have?
Number of ten-dollar notes |
Value of ten-dollar notes |
Number of five-dollar notes |
Value of five-dollar notes |
Total value |
11 |
11 x 10 = $110 |
0 |
0 |
$110 |
10 |
10 x 10 = $100 |
1 |
1 x 5 = $5 |
$105 |
6 |
6 x 10 = $60 |
5 |
5 x 5 = $25 |
$85 |
Total amount of money if all the notes are ten-dollar notes
= 11 x 10
= $110
Big difference between the amounts of ten-dollar notes and five-dollar notes
= 110 - 85
= $25
Small difference between amount in one ten-dollar note and one five-dollar note
= 10 - 5
= 5
Number of five-dollar notes
= 25 ÷ 5
= 5
Number of ten-dollar notes
= 11 - 5
= 6
Answer(s): 6