A sum of $704 is divided among a group of people.
23 of the people receive $9 each,
13 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$9 |
$6 |
$2 |
2 x 3 |
1 x 3 |
|
1 |
2 |
6 u |
1 u |
2 u |
|
$9 |
$6 |
$2 |
Number |
6 u |
1 u |
2 u |
Value |
$9 |
$6 |
$2 |
Total value |
54 u |
6 u |
4 u |
Fraction of people who did not receive $9
= 1 -
23 =
13 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $6
=
13 x
13 =
19 Fraction of people who received $2
=
13 x
23 =
29Total amount of money received
= 54 u + 6 u + 4 u
= 64 u
64 u = 704
1 u = 704 ÷ 64 = 11
Number of people who received the money
= 6 u + 1 u + 2 u
= 9 u
= 9 x 11
= 99
Answer(s): 99