A sum of $3982 is divided among a group of people.
78 of the people receive $8 each,
16 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
| $8 |
$6 |
$4 |
| 7 x 6 |
1 x 6 |
| |
1 |
5 |
| 42 u |
1 u |
5 u |
| |
$8 |
$6 |
$4 |
| Number |
42 u |
1 u |
5 u |
| Value |
$8 |
$6 |
$4 |
| Total value |
336 u |
6 u |
20 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $4
= 1 -
16 =
56 Fraction of people who received $6
=
18 x
16 =
148 Fraction of people who received $4
=
18 x
56 =
548Total amount of money received
= 336 u + 6 u + 20 u
= 362 u
362 u = 3982
1 u = 3982 ÷ 362 = 11
Number of people who received the money
= 42 u + 1 u + 5 u
= 48 u
= 48 x 11
= 528
Answer(s): 528
