Tommy has 17 notes. There are only fifty-dollar notes and one hundred-dollar notes. The total amount of money is $1200. How many one hundred-dollar notes does Tommy have?
Number of one hundred-dollar notes |
Value of one hundred-dollar notes |
Number of fifty-dollar notes |
Value of fifty-dollar notes |
Total value |
17 |
17 x 100 = $1700 |
0 |
0 |
$1700 |
16 |
16 x 100 = $1600 |
1 |
1 x 50 = $50 |
$1650 |
7 |
7 x 100 = $700 |
10 |
10 x 50 = $500 |
$1200 |
Total amount of money if all the notes are one hundred-dollar notes
= 17 x 100
= $1700
Big difference between the amounts of one hundred-dollar notes and fifty-dollar notes
= 1700 - 1200
= $500
Small difference between amount in one one hundred-dollar note and one fifty-dollar note
= 100 - 50
= 50
Number of fifty-dollar notes
= 500 ÷ 50
= 10
Number of one hundred-dollar notes
= 17 - 10
= 7
Answer(s): 7