A sum of $490 is divided among a group of people.
23 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 |
| 2 x 5 |
1 x 5 |
| |
1 |
4 |
| 10 u |
1 u |
4 u |
| |
$8 |
$6 |
$3 |
| Number |
10 u |
1 u |
4 u |
| Value |
$8 |
$6 |
$3 |
| Total value |
80 u |
6 u |
12 u |
Fraction of people who did not receive $8
= 1 -
23 =
13 Fraction of the remainder who received $3
= 1 -
15 =
45 Fraction of people who received $6
=
13 x
15 =
115 Fraction of people who received $3
=
13 x
45 =
415Total amount of money received
= 80 u + 6 u + 12 u
= 98 u
98 u = 490
1 u = 490 ÷ 98 = 5
Number of people who received the money
= 10 u + 1 u + 4 u
= 15 u
= 15 x 5
= 75
Answer(s): 75
