A sum of $1640 is divided among a group of people.
78 of the people receive $8 each,
17 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$8 |
$6 |
$2 |
7 x 7 |
1 x 7 |
|
1 |
6 |
49 u |
1 u |
6 u |
|
$8 |
$6 |
$2 |
Number |
49 u |
1 u |
6 u |
Value |
$8 |
$6 |
$2 |
Total value |
392 u |
6 u |
12 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $2
= 1 -
17 =
67 Fraction of people who received $6
=
18 x
17 =
156 Fraction of people who received $2
=
18 x
67 =
656Total amount of money received
= 392 u + 6 u + 12 u
= 410 u
410 u = 1640
1 u = 1640 ÷ 410 = 4
Number of people who received the money
= 49 u + 1 u + 6 u
= 56 u
= 56 x 4
= 224
Answer(s): 224