Bobby has 16 notes. There are only five-dollar notes and one hundred-dollar notes. The total amount of money is $745. How many one hundred-dollar notes does Bobby have?
Number of one hundred-dollar notes |
Value of one hundred-dollar notes |
Number of five-dollar notes |
Value of five-dollar notes |
Total value |
16 |
16 x 100 = $1600 |
0 |
0 |
$1600 |
15 |
15 x 100 = $1500 |
1 |
1 x 5 = $5 |
$1505 |
7 |
7 x 100 = $700 |
9 |
9 x 5 = $45 |
$745 |
Total amount of money if all the notes are one hundred-dollar notes
= 16 x 100
= $1600
Big difference between the amounts of one hundred-dollar notes and five-dollar notes
= 1600 - 745
= $855
Small difference between amount in one one hundred-dollar note and one five-dollar note
= 100 - 5
= 95
Number of five-dollar notes
= 855 ÷ 95
= 9
Number of one hundred-dollar notes
= 16 - 9
= 7
Answer(s): 7