Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
$4 |
$5 |
$9 |
Owen had some dragon fruits in 3 sizes. The number of medium dragon fruits was twice the number of large dragon fruits. The number of large dragon fruits were five times the number of small dragon fruits. He sold all the small and medium dragon fruits. He received $459 from selling
35 of the large dragon fruits.Owen had some dragon fruits in 3 sizes.
He sold all the small and medium dragon fruits. He received $459 from selling
35 of the large dragon fruits.
- How many medium dragon fruits did he have at first?
- How much more did he collect from selling the medium dragon fruits than the small dragon fruits?
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large dragon fruits is the repeated identity. Make the number of large dragon fruits the same. LCM of 1 and 5 is 5.
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large dragon fruits that Owen sold
=
35 x 5 u
= 3 u
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Number |
1 u |
10 u |
3 u |
Value |
$4 |
$5 |
$9 |
Total value |
4 u |
50 u |
27 u |
Amount that Owen received from selling of
35 of the large dragon fruits = 27 u
27 u = 459
1 u = 459 ÷ 27 = 17
Number of medium dragon fruits at first
= 10 u
= 10 x 17
= 170
(b)
Amount that Owen collected more from selling the medium dragon fruits than the small dragon fruits
= 50 u - 4 u
= 46 u
= 46 x 17
= $782
Answer(s): (a) 170; (b) $782