A sum of $284 is divided among a group of people.
34 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 |
3 x 5 |
1 x 5 |
|
1 |
4 |
15 u |
1 u |
4 u |
|
$8 |
$6 |
$4 |
Number |
15 u |
1 u |
4 u |
Value |
$8 |
$6 |
$4 |
Total value |
120 u |
6 u |
16 u |
Fraction of people who did not receive $8
= 1 -
34 =
14 Fraction of the remainder who received $4
= 1 -
15 =
45 Fraction of people who received $6
=
14 x
15 =
120 Fraction of people who received $4
=
14 x
45 =
420Total amount of money received
= 120 u + 6 u + 16 u
= 142 u
142 u = 284
1 u = 284 ÷ 142 = 2
Number of people who received the money
= 15 u + 1 u + 4 u
= 20 u
= 20 x 2
= 40
Answer(s): 40