A sum of $192 is divided among a group of people.
45 of the people receive $7 each,
12 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$7 |
$6 |
$2 |
4 x 2 |
1 x 2 |
|
1 |
1 |
8 u |
1 u |
1 u |
|
$7 |
$6 |
$2 |
Number |
8 u |
1 u |
1 u |
Value |
$7 |
$6 |
$2 |
Total value |
56 u |
6 u |
2 u |
Fraction of people who did not receive $7
= 1 -
45 =
15 Fraction of the remainder who received $2
= 1 -
12 =
12 Fraction of people who received $6
=
15 x
12 =
110 Fraction of people who received $2
=
15 x
12 =
110Total amount of money received
= 56 u + 6 u + 2 u
= 64 u
64 u = 192
1 u = 192 ÷ 64 = 3
Number of people who received the money
= 8 u + 1 u + 1 u
= 10 u
= 10 x 3
= 30
Answer(s): 30