A sum of $2880 is divided among a group of people.
78 of the people receive $7 each,
16 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$7 |
$6 |
$4 |
7 x 6 |
1 x 6 |
|
1 |
5 |
42 u |
1 u |
5 u |
|
$7 |
$6 |
$4 |
Number |
42 u |
1 u |
5 u |
Value |
$7 |
$6 |
$4 |
Total value |
294 u |
6 u |
20 u |
Fraction of people who did not receive $7
= 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
= 294 u + 6 u + 20 u
= 320 u
320 u = 2880
1 u = 2880 ÷ 320 = 9
Number of people who received the money
= 42 u + 1 u + 5 u
= 48 u
= 48 x 9
= 432
Answer(s): 432