A sum of $2136 is divided among a group of people.
45 of the people receive $8 each,
15 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$8 |
$6 |
$3 |
4 x 5 |
1 x 5 |
|
1 |
4 |
20 u |
1 u |
4 u |
|
$8 |
$6 |
$3 |
Number |
20 u |
1 u |
4 u |
Value |
$8 |
$6 |
$3 |
Total value |
160 u |
6 u |
12 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $3
= 1 -
15 =
45 Fraction of people who received $6
=
15 x
15 =
125 Fraction of people who received $3
=
15 x
45 =
425Total amount of money received
= 160 u + 6 u + 12 u
= 178 u
178 u = 2136
1 u = 2136 ÷ 178 = 12
Number of people who received the money
= 20 u + 1 u + 4 u
= 25 u
= 25 x 12
= 300
Answer(s): 300