A sum of $2058 is divided among a group of people.
89 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 |
| 8 x 5 |
1 x 5 |
| |
1 |
4 |
| 40 u |
1 u |
4 u |
| |
$7 |
$6 |
$2 |
| Number |
40 u |
1 u |
4 u |
| Value |
$7 |
$6 |
$2 |
| Total value |
280 u |
6 u |
8 u |
Fraction of people who did not receive $7
= 1 -
89 =
19 Fraction of the remainder who received $2
= 1 -
15 =
45 Fraction of people who received $6
=
19 x
15 =
145 Fraction of people who received $2
=
19 x
45 =
445Total amount of money received
= 280 u + 6 u + 8 u
= 294 u
294 u = 2058
1 u = 2058 ÷ 294 = 7
Number of people who received the money
= 40 u + 1 u + 4 u
= 45 u
= 45 x 7
= 315
Answer(s): 315
