A sum of $3672 is divided among a group of people.
56 of the people receive $7 each,
18 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
| $7 |
$5 |
$3 |
| 5 x 8 |
1 x 8 |
| |
1 |
7 |
| 40 u |
1 u |
7 u |
| |
$7 |
$5 |
$3 |
| Number |
40 u |
1 u |
7 u |
| Value |
$7 |
$5 |
$3 |
| Total value |
280 u |
5 u |
21 u |
Fraction of people who did not receive $7
= 1 -
56 =
16 Fraction of the remainder who received $3
= 1 -
18 =
78 Fraction of people who received $5
=
16 x
18 =
148 Fraction of people who received $3
=
16 x
78 =
748Total amount of money received
= 280 u + 5 u + 21 u
= 306 u
306 u = 3672
1 u = 3672 ÷ 306 = 12
Number of people who received the money
= 40 u + 1 u + 7 u
= 48 u
= 48 x 12
= 576
Answer(s): 576
