A sum of $1026 is divided among a group of people.
56 of the people receive $8 each,
14 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
$8 |
$5 |
$2 |
5 x 4 |
1 x 4 |
|
1 |
3 |
20 u |
1 u |
3 u |
|
$8 |
$5 |
$2 |
Number |
20 u |
1 u |
3 u |
Value |
$8 |
$5 |
$2 |
Total value |
160 u |
5 u |
6 u |
Fraction of people who did not receive $8
= 1 -
56 =
16 Fraction of the remainder who received $2
= 1 -
14 =
34 Fraction of people who received $5
=
16 x
14 =
124 Fraction of people who received $2
=
16 x
34 =
324Total amount of money received
= 160 u + 5 u + 6 u
= 171 u
171 u = 1026
1 u = 1026 ÷ 171 = 6
Number of people who received the money
= 20 u + 1 u + 3 u
= 24 u
= 24 x 6
= 144
Answer(s): 144