A sum of $236 is divided among a group of people.
45 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 |
4 x 3 |
1 x 3 |
|
1 |
2 |
12 u |
1 u |
2 u |
|
$9 |
$6 |
$2 |
Number |
12 u |
1 u |
2 u |
Value |
$9 |
$6 |
$2 |
Total value |
108 u |
6 u |
4 u |
Fraction of people who did not receive $9
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $6
=
15 x
13 =
115 Fraction of people who received $2
=
15 x
23 =
215Total amount of money received
= 108 u + 6 u + 4 u
= 118 u
118 u = 236
1 u = 236 ÷ 118 = 2
Number of people who received the money
= 12 u + 1 u + 2 u
= 15 u
= 15 x 2
= 30
Answer(s): 30