A sum of $1928 is divided among a group of people.
89 of the people receive $7 each,
18 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$7 |
$6 |
$4 |
8 x 8 |
1 x 8 |
|
1 |
7 |
64 u |
1 u |
7 u |
|
$7 |
$6 |
$4 |
Number |
64 u |
1 u |
7 u |
Value |
$7 |
$6 |
$4 |
Total value |
448 u |
6 u |
28 u |
Fraction of people who did not receive $7
= 1 -
89 =
19 Fraction of the remainder who received $4
= 1 -
18 =
78 Fraction of people who received $6
=
19 x
18 =
172 Fraction of people who received $4
=
19 x
78 =
772Total amount of money received
= 448 u + 6 u + 28 u
= 482 u
482 u = 1928
1 u = 1928 ÷ 482 = 4
Number of people who received the money
= 64 u + 1 u + 7 u
= 72 u
= 72 x 4
= 288
Answer(s): 288