A sum of $1356 is divided among a group of people.
89 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 |
8 x 3 |
1 x 3 |
|
1 |
2 |
24 u |
1 u |
2 u |
|
$9 |
$6 |
$2 |
Number |
24 u |
1 u |
2 u |
Value |
$9 |
$6 |
$2 |
Total value |
216 u |
6 u |
4 u |
Fraction of people who did not receive $9
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $6
=
19 x
13 =
127 Fraction of people who received $2
=
19 x
23 =
227Total amount of money received
= 216 u + 6 u + 4 u
= 226 u
226 u = 1356
1 u = 1356 ÷ 226 = 6
Number of people who received the money
= 24 u + 1 u + 2 u
= 27 u
= 27 x 6
= 162
Answer(s): 162