A sum of $1224 is divided among a group of people.
23 of the people receive $8 each,
15 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$8 |
$6 |
$4 |
2 x 5 |
1 x 5 |
|
1 |
4 |
10 u |
1 u |
4 u |
|
$8 |
$6 |
$4 |
Number |
10 u |
1 u |
4 u |
Value |
$8 |
$6 |
$4 |
Total value |
80 u |
6 u |
16 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $4
= 1 -
15 =
45 Fraction of people who received $6
=
13 x
15 =
115 Fraction of people who received $4
=
13 x
45 =
415Total amount of money received
= 80 u + 6 u + 16 u
= 102 u
102 u = 1224
1 u = 1224 ÷ 102 = 12
Number of people who received the money
= 10 u + 1 u + 4 u
= 15 u
= 15 x 12
= 180
Answer(s): 180