A sum of $278 is divided among a group of people.
23 of the people receive $7 each,
18 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
| $7 |
$6 |
$3 |
| 2 x 8 |
1 x 8 |
| |
1 |
7 |
| 16 u |
1 u |
7 u |
| |
$7 |
$6 |
$3 |
| Number |
16 u |
1 u |
7 u |
| Value |
$7 |
$6 |
$3 |
| Total value |
112 u |
6 u |
21 u |
Fraction of people who did not receive $7
= 1 -
23 =
13 Fraction of the remainder who received $3
= 1 -
18 =
78 Fraction of people who received $6
=
13 x
18 =
124 Fraction of people who received $3
=
13 x
78 =
724Total amount of money received
= 112 u + 6 u + 21 u
= 139 u
139 u = 278
1 u = 278 ÷ 139 = 2
Number of people who received the money
= 16 u + 1 u + 7 u
= 24 u
= 24 x 2
= 48
Answer(s): 48
