A sum of $1284 is divided among a group of people.
78 of the people receive $7 each,
12 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$7 |
$6 |
$3 |
7 x 2 |
1 x 2 |
|
1 |
1 |
14 u |
1 u |
1 u |
|
$7 |
$6 |
$3 |
Number |
14 u |
1 u |
1 u |
Value |
$7 |
$6 |
$3 |
Total value |
98 u |
6 u |
3 u |
Fraction of people who did not receive $7
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
12 =
12 Fraction of people who received $6
=
18 x
12 =
116 Fraction of people who received $3
=
18 x
12 =
116Total amount of money received
= 98 u + 6 u + 3 u
= 107 u
107 u = 1284
1 u = 1284 ÷ 107 = 12
Number of people who received the money
= 14 u + 1 u + 1 u
= 16 u
= 16 x 12
= 192
Answer(s): 192