Small guavas |
Medium guavas |
Large guavas |
$5 |
$8 |
$9 |
Lee had some guavas in 3 sizes. The number of medium guavas was four times 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 $243 from selling
35 of the large guavas.Lee had some guavas in 3 sizes.
He sold all the small and medium guavas. He received $243 from selling
35 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 |
|
4x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
20 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 |
20 u |
5 u |
Change |
- 1 u |
- 20 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large guavas that Lee sold
=
35 x 5 u
= 3 u
|
Small guavas |
Medium guavas |
Large guavas |
Number |
1 u |
20 u |
3 u |
Value |
$5 |
$8 |
$9 |
Total value |
5 u |
160 u |
27 u |
Amount that Lee received from selling of
35 of the large guavas = 27 u
27 u = 243
1 u = 243 ÷ 27 = 9
Number of medium guavas at first
= 20 u
= 20 x 9
= 180
(b)
Amount that Lee collected more from selling the medium guavas than the small guavas
= 160 u - 5 u
= 155 u
= 155 x 9
= $1395
Answer(s): (a) 180; (b) $1395