A sum of $432 is divided among a group of people.
56 of the people receive $9 each,
13 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$9 |
$5 |
$2 |
5 x 3 |
1 x 3 |
|
1 |
2 |
15 u |
1 u |
2 u |
|
$9 |
$5 |
$2 |
Number |
15 u |
1 u |
2 u |
Value |
$9 |
$5 |
$2 |
Total value |
135 u |
5 u |
4 u |
Fraction of people who did not receive $9
= 1 -
56 =
16 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $5
=
16 x
13 =
118 Fraction of people who received $2
=
16 x
23 =
218Total amount of money received
= 135 u + 5 u + 4 u
= 144 u
144 u = 432
1 u = 432 ÷ 144 = 3
Number of people who received the money
= 15 u + 1 u + 2 u
= 18 u
= 18 x 3
= 54
Answer(s): 54