A sum of $1770 is divided among a group of people.
78 of the people receive $8 each,
13 of the remainder receive $5 each and the rest receive $2 each. How many people are there altogether?
| $8 |
$5 |
$2 |
| 7 x 3 |
1 x 3 |
| |
1 |
2 |
| 21 u |
1 u |
2 u |
| |
$8 |
$5 |
$2 |
| Number |
21 u |
1 u |
2 u |
| Value |
$8 |
$5 |
$2 |
| Total value |
168 u |
5 u |
4 u |
Fraction of people who did not receive $8
= 1 -
78 =
18 Fraction of the remainder who received $2
= 1 -
13 =
23 Fraction of people who received $5
=
18 x
13 =
124 Fraction of people who received $2
=
18 x
23 =
224Total amount of money received
= 168 u + 5 u + 4 u
= 177 u
177 u = 1770
1 u = 1770 ÷ 177 = 10
Number of people who received the money
= 21 u + 1 u + 2 u
= 24 u
= 24 x 10
= 240
Answer(s): 240
