A sum of $2541 is divided among a group of people.
45 of the people receive $9 each,
16 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
| $9 |
$5 |
$2 |
| 4 x 6 |
1 x 6 |
| |
1 |
5 |
| 24 u |
1 u |
5 u |
| |
$9 |
$5 |
$2 |
| Number |
24 u |
1 u |
5 u |
| Value |
$9 |
$5 |
$2 |
| Total value |
216 u |
5 u |
10 u |
Fraction of people who did not receive $9
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
16 =
56 Fraction of people who received $5
=
15 x
16 =
130 Fraction of people who received $2
=
15 x
56 =
530Total amount of money received
= 216 u + 5 u + 10 u
= 231 u
231 u = 2541
1 u = 2541 ÷ 231 = 11
Number of people who received the money
= 24 u + 1 u + 5 u
= 30 u
= 30 x 11
= 330
Answer(s): 330
