A sum of $1896 is divided among a group of people.
56 of the people receive $7 each,
14 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$7 |
$6 |
$4 |
5 x 4 |
1 x 4 |
|
1 |
3 |
20 u |
1 u |
3 u |
|
$7 |
$6 |
$4 |
Number |
20 u |
1 u |
3 u |
Value |
$7 |
$6 |
$4 |
Total value |
140 u |
6 u |
12 u |
Fraction of people who did not receive $7
= 1 -
56 =
16 Fraction of the remainder who received $4
= 1 -
14 =
34 Fraction of people who received $6
=
16 x
14 =
124 Fraction of people who received $4
=
16 x
34 =
324Total amount of money received
= 140 u + 6 u + 12 u
= 158 u
158 u = 1896
1 u = 1896 ÷ 158 = 12
Number of people who received the money
= 20 u + 1 u + 3 u
= 24 u
= 24 x 12
= 288
Answer(s): 288