A sum of $336 is divided among a group of people.
23 of the people receive $7 each,
15 of the remainder receive $6 each and the rest receive $2 each. How many people are there altogether?
$7 |
$6 |
$2 |
2 x 5 |
1 x 5 |
|
1 |
4 |
10 u |
1 u |
4 u |
|
$7 |
$6 |
$2 |
Number |
10 u |
1 u |
4 u |
Value |
$7 |
$6 |
$2 |
Total value |
70 u |
6 u |
8 u |
Fraction of people who did not receive $7
= 1 -
23 =
13 Fraction of the remainder who received $2
= 1 -
15 =
45 Fraction of people who received $6
=
13 x
15 =
115 Fraction of people who received $2
=
13 x
45 =
415Total amount of money received
= 70 u + 6 u + 8 u
= 84 u
84 u = 336
1 u = 336 ÷ 84 = 4
Number of people who received the money
= 10 u + 1 u + 4 u
= 15 u
= 15 x 4
= 60
Answer(s): 60