A sum of $1070 is divided among a group of people.
45 of the people receive $8 each,
13 of the remainder receive $5 each and the rest receive $3 each. How many people are there altogether?
$8 |
$5 |
$3 |
4 x 3 |
1 x 3 |
|
1 |
2 |
12 u |
1 u |
2 u |
|
$8 |
$5 |
$3 |
Number |
12 u |
1 u |
2 u |
Value |
$8 |
$5 |
$3 |
Total value |
96 u |
5 u |
6 u |
Fraction of people who did not receive $8
= 1 -
45 =
15 Fraction of the remainder who received $3
= 1 -
13 =
23 Fraction of people who received $5
=
15 x
13 =
115 Fraction of people who received $3
=
15 x
23 =
215Total amount of money received
= 96 u + 5 u + 6 u
= 107 u
107 u = 1070
1 u = 1070 ÷ 107 = 10
Number of people who received the money
= 12 u + 1 u + 2 u
= 15 u
= 15 x 10
= 150
Answer(s): 150