A sum of $702 is divided among a group of people.
56 of the people receive $7 each,
13 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
$7 |
$6 |
$3 |
5 x 3 |
1 x 3 |
|
1 |
2 |
15 u |
1 u |
2 u |
|
$7 |
$6 |
$3 |
Number |
15 u |
1 u |
2 u |
Value |
$7 |
$6 |
$3 |
Total value |
105 u |
6 u |
6 u |
Fraction of people who did not receive $7
= 1 -
56 =
16 Fraction of the remainder who received $3
= 1 -
13 =
23 Fraction of people who received $6
=
16 x
13 =
118 Fraction of people who received $3
=
16 x
23 =
218Total amount of money received
= 105 u + 6 u + 6 u
= 117 u
117 u = 702
1 u = 702 ÷ 117 = 6
Number of people who received the money
= 15 u + 1 u + 2 u
= 18 u
= 18 x 6
= 108
Answer(s): 108