Small guavas |
Medium guavas |
Large guavas |
$3 |
$4 |
$7 |
Dylan had some guavas in 3 sizes. The number of medium guavas was twice the number of large guavas. The number of large guavas were five times the number of small guavas. He sold all the small and medium guavas. He received $63 from selling
15 of the large guavas.Dylan had some guavas in 3 sizes.
He sold all the small and medium guavas. He received $63 from selling
15 of the large guavas.
- How many medium guavas did he have at first?
- How much more did he collect from selling the medium guavas than the small guavas?
Small guavas |
Medium guavas |
Large guavas |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large guavas is the repeated identity. Make the number of large guavas the same. LCM of 1 and 5 is 5.
|
Small guavas |
Medium guavas |
Large guavas |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 1 u |
After |
0 |
0 |
4 u |
Number of large guavas that Dylan sold
=
15 x 5 u
= 1 u
|
Small guavas |
Medium guavas |
Large guavas |
Number |
1 u |
10 u |
1 u |
Value |
$3 |
$4 |
$7 |
Total value |
3 u |
40 u |
7 u |
Amount that Dylan received from selling of
15 of the large guavas = 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of medium guavas at first
= 10 u
= 10 x 9
= 90
(b)
Amount that Dylan collected more from selling the medium guavas than the small guavas
= 40 u - 3 u
= 37 u
= 37 x 9
= $333
Answer(s): (a) 90; (b) $333