Small guavas |
Medium guavas |
Large guavas |
$2 |
$3 |
$6 |
Valen had some guavas in 3 sizes. The number of medium guavas was thrice 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 $324 from selling
35 of the large guavas.
- How many large guavas did he have at first?
- How much less did he collect from selling the small guavas than the medium guavas?
Small guavas |
Medium guavas |
Large guavas |
|
3x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
15 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 |
15 u |
5 u |
Change |
- 1 u |
- 15 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large guavas that Valen sold
=
35 x 5 u
= 3 u
|
Small guavas |
Medium guavas |
Large guavas |
Number |
1 u |
15 u |
3 u |
Value |
$2 |
$3 |
$6 |
Total value |
2 u |
45 u |
18 u |
Amount that Valen received from selling of
35 of the large guavas = 18 u
18 u = 324
1 u = 324 ÷ 18 = 18
Number of large guavas at first
= 5 u
= 5 x 18
= 90
(b)
Amount that Valen collected less from selling the small guavas than the medium guavas
= 45 u - 2 u
= 43 u
= 43 x 18
= $774
Answer(s): (a) 90; (b) $774