A sum of $447 is divided among a group of people.
23 of the people receive $9 each,
17 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$9 |
$5 |
$3 |
2 x 7 |
1 x 7 |
|
1 |
6 |
14 u |
1 u |
6 u |
|
$9 |
$5 |
$3 |
Number |
14 u |
1 u |
6 u |
Value |
$9 |
$5 |
$3 |
Total value |
126 u |
5 u |
18 u |
Fraction of people who did not receive $9
= 1 -
23 =
13 Fraction of the remainder who received $3
= 1 -
17 =
67 Fraction of people who received $5
=
13 x
17 =
121 Fraction of people who received $3
=
13 x
67 =
621Total amount of money received
= 126 u + 5 u + 18 u
= 149 u
149 u = 447
1 u = 447 ÷ 149 = 3
Number of people who received the money
= 14 u + 1 u + 6 u
= 21 u
= 21 x 3
= 63
Answer(s): 63