A sum of $1230 is divided among a group of people.
89 of the people receive $7 each,
17 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$7 |
$6 |
$2 |
8 x 7 |
1 x 7 |
|
1 |
6 |
56 u |
1 u |
6 u |
|
$7 |
$6 |
$2 |
Number |
56 u |
1 u |
6 u |
Value |
$7 |
$6 |
$2 |
Total value |
392 u |
6 u |
12 u |
Fraction of people who did not receive $7
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
17 =
67 Fraction of people who received $6
=
19 x
17 =
163 Fraction of people who received $2
=
19 x
67 =
663Total amount of money received
= 392 u + 6 u + 12 u
= 410 u
410 u = 1230
1 u = 1230 ÷ 410 = 3
Number of people who received the money
= 56 u + 1 u + 6 u
= 63 u
= 63 x 3
= 189
Answer(s): 189