$231 is to be divided among a certain number of people. Half of the people received $3 each,
38 of the people received $5 each and the rest received $6 each. How many people are there altogether?
Fraction of the people who received $6 each
= 1 -
12 -
38= 1 -
48 -
38=
18
|
$3 |
$6 |
$5 |
Total |
Number |
4 u |
1 u |
3 u |
8 u |
Value |
3 |
6 |
5 |
|
Total value |
12 u |
6 u |
15 u |
33 u |
Total amount received by the people
= 12 u + 6 u + 15 u
= 33 u
33 u = 231
1 u = 231 ÷ 33 = 7
Total number of people
= 4 u + 1 u + 3 u
= 8 u
= 8 x 7
= 56
Answer(s): 56