A sum of $1148 is divided among a group of people.
34 of the people receive $8 each,
16 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
3 x 6 |
1 x 6 |
|
1 |
5 |
18 u |
1 u |
5 u |
|
$8 |
$5 |
$3 |
Number |
18 u |
1 u |
5 u |
Value |
$8 |
$5 |
$3 |
Total value |
144 u |
5 u |
15 u |
Fraction of people who did not receive $8
= 1 -
34 =
14 Fraction of the remainder who received $3
= 1 -
16 =
56 Fraction of people who received $5
=
14 x
16 =
124 Fraction of people who received $3
=
14 x
56 =
524Total amount of money received
= 144 u + 5 u + 15 u
= 164 u
164 u = 1148
1 u = 1148 ÷ 164 = 7
Number of people who received the money
= 18 u + 1 u + 5 u
= 24 u
= 24 x 7
= 168
Answer(s): 168