A sum of $1424 is divided among a group of people.
78 of the people receive $8 each,
13 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$8 |
$6 |
$2 |
7 x 3 |
1 x 3 |
|
1 |
2 |
21 u |
1 u |
2 u |
|
$8 |
$6 |
$2 |
Number |
21 u |
1 u |
2 u |
Value |
$8 |
$6 |
$2 |
Total value |
168 u |
6 u |
4 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $6
=
18 x
13 =
124 Fraction of people who received $2
=
18 x
23 =
224Total amount of money received
= 168 u + 6 u + 4 u
= 178 u
178 u = 1424
1 u = 1424 ÷ 178 = 8
Number of people who received the money
= 21 u + 1 u + 2 u
= 24 u
= 24 x 8
= 192
Answer(s): 192