A sum of $726 is divided among a group of people.
78 of the people receive $8 each,
12 of the remainder receive $5 each and the rest receive $4 each. How many people are there altogether?
$8 |
$5 |
$4 |
7 x 2 |
1 x 2 |
|
1 |
1 |
14 u |
1 u |
1 u |
|
$8 |
$5 |
$4 |
Number |
14 u |
1 u |
1 u |
Value |
$8 |
$5 |
$4 |
Total value |
112 u |
5 u |
4 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $4
= 1 -
12 =
12 Fraction of people who received $5
=
18 x
12 =
116 Fraction of people who received $4
=
18 x
12 =
116Total amount of money received
= 112 u + 5 u + 4 u
= 121 u
121 u = 726
1 u = 726 ÷ 121 = 6
Number of people who received the money
= 14 u + 1 u + 1 u
= 16 u
= 16 x 6
= 96
Answer(s): 96