A sum of $1230 is divided among a group of people.
89 of the people receive $8 each,
16 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$8 |
$6 |
$4 |
8 x 6 |
1 x 6 |
|
1 |
5 |
48 u |
1 u |
5 u |
|
$8 |
$6 |
$4 |
Number |
48 u |
1 u |
5 u |
Value |
$8 |
$6 |
$4 |
Total value |
384 u |
6 u |
20 u |
Fraction of people who did not receive $8
= 1 -
89 =
19 Fraction of the remainder who received $4
= 1 -
16 =
56 Fraction of people who received $6
=
19 x
16 =
154 Fraction of people who received $4
=
19 x
56 =
554Total amount of money received
= 384 u + 6 u + 20 u
= 410 u
410 u = 1230
1 u = 1230 ÷ 410 = 3
Number of people who received the money
= 48 u + 1 u + 5 u
= 54 u
= 54 x 3
= 162
Answer(s): 162