A sum of $2152 is divided among a group of people.
56 of the people receive $7 each,
17 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$7 |
$6 |
$3 |
5 x 7 |
1 x 7 |
|
1 |
6 |
35 u |
1 u |
6 u |
|
$7 |
$6 |
$3 |
Number |
35 u |
1 u |
6 u |
Value |
$7 |
$6 |
$3 |
Total value |
245 u |
6 u |
18 u |
Fraction of people who did not receive $7
= 1 -
56 =
16 Fraction of the remainder who received $3
= 1 -
17 =
67 Fraction of people who received $6
=
16 x
17 =
142 Fraction of people who received $3
=
16 x
67 =
642Total amount of money received
= 245 u + 6 u + 18 u
= 269 u
269 u = 2152
1 u = 2152 ÷ 269 = 8
Number of people who received the money
= 35 u + 1 u + 6 u
= 42 u
= 42 x 8
= 336
Answer(s): 336