A sum of $2354 is divided among a group of people.
78 of the people receive $7 each,
14 of the remainder receive $6 each and the rest receive $4 each. How many people are there altogether?
$7 |
$6 |
$4 |
7 x 4 |
1 x 4 |
|
1 |
3 |
28 u |
1 u |
3 u |
|
$7 |
$6 |
$4 |
Number |
28 u |
1 u |
3 u |
Value |
$7 |
$6 |
$4 |
Total value |
196 u |
6 u |
12 u |
Fraction of people who did not receive $7
= 1 -
78 =
18 Fraction of the remainder who received $4
= 1 -
14 =
34 Fraction of people who received $6
=
18 x
14 =
132 Fraction of people who received $4
=
18 x
34 =
332Total amount of money received
= 196 u + 6 u + 12 u
= 214 u
214 u = 2354
1 u = 2354 ÷ 214 = 11
Number of people who received the money
= 28 u + 1 u + 3 u
= 32 u
= 32 x 11
= 352
Answer(s): 352