A sum of $780 is divided among a group of people.
34 of the people receive $7 each,
18 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$7 |
$6 |
$3 |
3 x 8 |
1 x 8 |
|
1 |
7 |
24 u |
1 u |
7 u |
|
$7 |
$6 |
$3 |
Number |
24 u |
1 u |
7 u |
Value |
$7 |
$6 |
$3 |
Total value |
168 u |
6 u |
21 u |
Fraction of people who did not receive $7
= 1 -
34 =
14 Fraction of the remainder who received $3
= 1 -
18 =
78 Fraction of people who received $6
=
14 x
18 =
132 Fraction of people who received $3
=
14 x
78 =
732Total amount of money received
= 168 u + 6 u + 21 u
= 195 u
195 u = 780
1 u = 780 ÷ 195 = 4
Number of people who received the money
= 24 u + 1 u + 7 u
= 32 u
= 32 x 4
= 128
Answer(s): 128