Small durians |
Medium durians |
Large durians |
$3 |
$4 |
$7 |
Albert had some durians in 3 sizes. The number of medium durians was thrice the number of large durians. The number of large durians were five times the number of small durians. He sold all the small and medium durians. He received $294 from selling
25 of the large durians.Albert had some durians in 3 sizes.
He sold all the small and medium durians. He received $294 from selling
25 of the large durians.
- How many medium durians did he have at first?
- How much more did he collect from selling the medium durians than the small durians?
Small durians |
Medium durians |
Large durians |
|
3x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
15 u |
5 u |
(a)
The number of large durians is the repeated identity. Make the number of large durians the same. LCM of 1 and 5 is 5.
|
Small durians |
Medium durians |
Large durians |
Before |
1 u |
15 u |
5 u |
Change |
- 1 u |
- 15 u |
- 2 u |
After |
0 |
0 |
3 u |
Number of large durians that Albert sold
=
25 x 5 u
= 2 u
|
Small durians |
Medium durians |
Large durians |
Number |
1 u |
15 u |
2 u |
Value |
$3 |
$4 |
$7 |
Total value |
3 u |
60 u |
14 u |
Amount that Albert received from selling of
25 of the large durians = 14 u
14 u = 294
1 u = 294 ÷ 14 = 21
Number of medium durians at first
= 15 u
= 15 x 21
= 315
(b)
Amount that Albert collected more from selling the medium durians than the small durians
= 60 u - 3 u
= 57 u
= 57 x 21
= $1197
Answer(s): (a) 315; (b) $1197