Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
$2 |
$4 |
$6 |
Paul 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 four times the number of small dragon fruits. He sold all the small and medium dragon fruits. He received $144 from selling
14 of the large dragon fruits.Paul had some dragon fruits in 3 sizes.
He sold all the small and medium dragon fruits. He received $144 from selling
14 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 |
|
2x4 |
1x4 |
1x1 |
|
4x1 |
1 u |
8 u |
4 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 4 is 4.
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Before |
1 u |
8 u |
4 u |
Change |
- 1 u |
- 8 u |
- 1 u |
After |
0 |
0 |
3 u |
Number of large dragon fruits that Paul sold
=
14 x 4 u
= 1 u
|
Small dragon fruits |
Medium dragon fruits |
Large dragon fruits |
Number |
1 u |
8 u |
1 u |
Value |
$2 |
$4 |
$6 |
Total value |
2 u |
32 u |
6 u |
Amount that Paul received from selling of
14 of the large dragon fruits = 6 u
6 u = 144
1 u = 144 ÷ 6 = 24
Number of medium dragon fruits at first
= 8 u
= 8 x 24
= 192
(b)
Amount that Paul collected more from selling the medium dragon fruits than the small dragon fruits
= 32 u - 2 u
= 30 u
= 30 x 24
= $720
Answer(s): (a) 192; (b) $720