Fabian has 14 notes. There are only two-dollar notes and ten-dollar notes. The total amount of money is $92. How many ten-dollar notes does Fabian have?
Number of ten-dollar notes |
Value of ten-dollar notes |
Number of two-dollar notes |
Value of two-dollar notes |
Total value |
14 |
14 x 10 = $140 |
0 |
0 |
$140 |
13 |
13 x 10 = $130 |
1 |
1 x 2 = $2 |
$132 |
8 |
8 x 10 = $80 |
6 |
6 x 2 = $12 |
$92 |
Total amount of money if all the notes are ten-dollar notes
= 14 x 10
= $140
Big difference between the amounts of ten-dollar notes and two-dollar notes
= 140 - 92
= $48
Small difference between amount in one ten-dollar note and one two-dollar note
= 10 - 2
= 8
Number of two-dollar notes
= 48 ÷ 8
= 6
Number of ten-dollar notes
= 14 - 6
= 8
Answer(s): 8