A sum of $2928 is divided among a group of people.
78 of the people receive $7 each,
17 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$7 |
$5 |
$3 |
7 x 7 |
1 x 7 |
|
1 |
6 |
49 u |
1 u |
6 u |
|
$7 |
$5 |
$3 |
Number |
49 u |
1 u |
6 u |
Value |
$7 |
$5 |
$3 |
Total value |
343 u |
5 u |
18 u |
Fraction of people who did not receive $7
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
17 =
67 Fraction of people who received $5
=
18 x
17 =
156 Fraction of people who received $3
=
18 x
67 =
656Total amount of money received
= 343 u + 5 u + 18 u
= 366 u
366 u = 2928
1 u = 2928 ÷ 366 = 8
Number of people who received the money
= 49 u + 1 u + 6 u
= 56 u
= 56 x 8
= 448
Answer(s): 448