A sum of $2826 is divided among a group of people.
89 of the people receive $8 each,
17 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
8 x 7 |
1 x 7 |
|
1 |
6 |
56 u |
1 u |
6 u |
|
$8 |
$5 |
$3 |
Number |
56 u |
1 u |
6 u |
Value |
$8 |
$5 |
$3 |
Total value |
448 u |
5 u |
18 u |
Fraction of people who did not receive $8
= 1 -
89 =
19 Fraction of the remainder who received $3
= 1 -
17 =
67 Fraction of people who received $5
=
19 x
17 =
163 Fraction of people who received $3
=
19 x
67 =
663Total amount of money received
= 448 u + 5 u + 18 u
= 471 u
471 u = 2826
1 u = 2826 ÷ 471 = 6
Number of people who received the money
= 56 u + 1 u + 6 u
= 63 u
= 63 x 6
= 378
Answer(s): 378