A sum of $324 is divided among a group of people.
45 of the people receive $9 each,
12 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$9 |
$6 |
$3 |
4 x 2 |
1 x 2 |
|
1 |
1 |
8 u |
1 u |
1 u |
|
$9 |
$6 |
$3 |
Number |
8 u |
1 u |
1 u |
Value |
$9 |
$6 |
$3 |
Total value |
72 u |
6 u |
3 u |
Fraction of people who did not receive $9
= 1 -
45 =
15 Fraction of the remainder who received $3
= 1 -
12 =
12 Fraction of people who received $6
=
15 x
12 =
110 Fraction of people who received $3
=
15 x
12 =
110Total amount of money received
= 72 u + 6 u + 3 u
= 81 u
81 u = 324
1 u = 324 ÷ 81 = 4
Number of people who received the money
= 8 u + 1 u + 1 u
= 10 u
= 10 x 4
= 40
Answer(s): 40