A sum of $2316 is divided among a group of people.
56 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 |
5 x 5 |
1 x 5 |
|
1 |
4 |
25 u |
1 u |
4 u |
|
$7 |
$6 |
$3 |
Number |
25 u |
1 u |
4 u |
Value |
$7 |
$6 |
$3 |
Total value |
175 u |
6 u |
12 u |
Fraction of people who did not receive $7
= 1 -
56 =
16 Fraction of the remainder who received $3
= 1 -
15 =
45 Fraction of people who received $6
=
16 x
15 =
130 Fraction of people who received $3
=
16 x
45 =
430Total amount of money received
= 175 u + 6 u + 12 u
= 193 u
193 u = 2316
1 u = 2316 ÷ 193 = 12
Number of people who received the money
= 25 u + 1 u + 4 u
= 30 u
= 30 x 12
= 360
Answer(s): 360