Henry has 13 notes. There are only fifty-dollar notes and one hundred-dollar notes. The total amount of money is $950. How many one hundred-dollar notes does Henry 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 |
13 |
13 x 100 = $1300 |
0 |
0 |
$1300 |
12 |
12 x 100 = $1200 |
1 |
1 x 50 = $50 |
$1250 |
6 |
6 x 100 = $600 |
7 |
7 x 50 = $350 |
$950 |
Total amount of money if all the notes are one hundred-dollar notes
= 13 x 100
= $1300
Big difference between the amounts of one hundred-dollar notes and fifty-dollar notes
= 1300 - 950
= $350
Small difference between amount in one one hundred-dollar note and one fifty-dollar note
= 100 - 50
= 50
Number of fifty-dollar notes
= 350 ÷ 50
= 7
Number of one hundred-dollar notes
= 13 - 7
= 6
Answer(s): 6