A sum of $2100 is divided among a group of people.
56 of the people receive $7 each,
18 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$7 |
$6 |
$2 |
5 x 8 |
1 x 8 |
|
1 |
7 |
40 u |
1 u |
7 u |
|
$7 |
$6 |
$2 |
Number |
40 u |
1 u |
7 u |
Value |
$7 |
$6 |
$2 |
Total value |
280 u |
6 u |
14 u |
Fraction of people who did not receive $7
= 1 -
56 =
16 Fraction of the remainder who received $2
= 1 -
18 =
78 Fraction of people who received $6
=
16 x
18 =
148 Fraction of people who received $2
=
16 x
78 =
748Total amount of money received
= 280 u + 6 u + 14 u
= 300 u
300 u = 2100
1 u = 2100 ÷ 300 = 7
Number of people who received the money
= 40 u + 1 u + 7 u
= 48 u
= 48 x 7
= 336
Answer(s): 336