A sum of $596 is divided among a group of people.
78 of the people receive $8 each,
15 of the remainder receive $6 each and the rest receive $3 each. How many people are there altogether?
| $8 |
$6 |
$3 |
| 7 x 5 |
1 x 5 |
| |
1 |
4 |
| 35 u |
1 u |
4 u |
| |
$8 |
$6 |
$3 |
| Number |
35 u |
1 u |
4 u |
| Value |
$8 |
$6 |
$3 |
| Total value |
280 u |
6 u |
12 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $3
= 1 -
15 =
45 Fraction of people who received $6
=
18 x
15 =
140 Fraction of people who received $3
=
18 x
45 =
440Total amount of money received
= 280 u + 6 u + 12 u
= 298 u
298 u = 596
1 u = 596 ÷ 298 = 2
Number of people who received the money
= 35 u + 1 u + 4 u
= 40 u
= 40 x 2
= 80
Answer(s): 80
