A sum of $906 is divided among a group of people.
78 of the people receive $8 each,
15 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$8 |
$6 |
$4 |
7 x 5 |
1 x 5 |
|
1 |
4 |
35 u |
1 u |
4 u |
|
$8 |
$6 |
$4 |
Number |
35 u |
1 u |
4 u |
Value |
$8 |
$6 |
$4 |
Total value |
280 u |
6 u |
16 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $4
= 1 -
15 =
45 Fraction of people who received $6
=
18 x
15 =
140 Fraction of people who received $4
=
18 x
45 =
440Total amount of money received
= 280 u + 6 u + 16 u
= 302 u
302 u = 906
1 u = 906 ÷ 302 = 3
Number of people who received the money
= 35 u + 1 u + 4 u
= 40 u
= 40 x 3
= 120
Answer(s): 120