A sum of $789 is divided among a group of people.
78 of the people receive $7 each,
15 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$7 |
$6 |
$3 |
7 x 5 |
1 x 5 |
|
1 |
4 |
35 u |
1 u |
4 u |
|
$7 |
$6 |
$3 |
Number |
35 u |
1 u |
4 u |
Value |
$7 |
$6 |
$3 |
Total value |
245 u |
6 u |
12 u |
Fraction of people who did not receive $7
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
15 =
45 Fraction of people who received $6
=
18 x
15 =
140 Fraction of people who received $3
=
18 x
45 =
440Total amount of money received
= 245 u + 6 u + 12 u
= 263 u
263 u = 789
1 u = 789 ÷ 263 = 3
Number of people who received the money
= 35 u + 1 u + 4 u
= 40 u
= 40 x 3
= 120
Answer(s): 120