A sum of $1224 is divided among a group of people.
34 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 |
3 x 4 |
1 x 4 |
|
1 |
3 |
12 u |
1 u |
3 u |
|
$7 |
$6 |
$4 |
Number |
12 u |
1 u |
3 u |
Value |
$7 |
$6 |
$4 |
Total value |
84 u |
6 u |
12 u |
Fraction of people who did not receive $7
= 1 -
34 =
14 Fraction of the remainder who received $4
= 1 -
14 =
34 Fraction of people who received $6
=
14 x
14 =
116 Fraction of people who received $4
=
14 x
34 =
316Total amount of money received
= 84 u + 6 u + 12 u
= 102 u
102 u = 1224
1 u = 1224 ÷ 102 = 12
Number of people who received the money
= 12 u + 1 u + 3 u
= 16 u
= 16 x 12
= 192
Answer(s): 192