A sum of $453 is divided among a group of people.
89 of the people receive $9 each,
12 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$9 |
$5 |
$2 |
8 x 2 |
1 x 2 |
|
1 |
1 |
16 u |
1 u |
1 u |
|
$9 |
$5 |
$2 |
Number |
16 u |
1 u |
1 u |
Value |
$9 |
$5 |
$2 |
Total value |
144 u |
5 u |
2 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
12 =
12 Fraction of people who received $5
=
19 x
12 =
118 Fraction of people who received $2
=
19 x
12 =
118Total amount of money received
= 144 u + 5 u + 2 u
= 151 u
151 u = 453
1 u = 453 ÷ 151 = 3
Number of people who received the money
= 16 u + 1 u + 1 u
= 18 u
= 18 x 3
= 54
Answer(s): 54