Small papayas |
Medium papayas |
Large papayas |
$5 |
$7 |
$8 |
Ken had some papayas in 3 sizes. The number of medium papayas was twice the number of large papayas. The number of large papayas were thrice the number of small papayas. He sold all the small and medium papayas. He received $168 from selling
13 of the large papayas.
- How many large papayas did he have at first?
- How much less did he collect from selling the small papayas than the medium papayas?
Small papayas |
Medium papayas |
Large papayas |
|
2x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
6 u |
3 u |
(a)
The number of large papayas is the repeated identity. Make the number of large papayas the same. LCM of 1 and 3 is 3.
|
Small papayas |
Medium papayas |
Large papayas |
Before |
1 u |
6 u |
3 u |
Change |
- 1 u |
- 6 u |
- 1 u |
After |
0 |
0 |
2 u |
Number of large papayas that Ken sold
=
13 x 3 u
= 1 u
|
Small papayas |
Medium papayas |
Large papayas |
Number |
1 u |
6 u |
1 u |
Value |
$5 |
$7 |
$8 |
Total value |
5 u |
42 u |
8 u |
Amount that Ken received from selling of
13 of the large papayas = 8 u
8 u = 168
1 u = 168 ÷ 8 = 21
Number of large papayas at first
= 3 u
= 3 x 21
= 63
(b)
Amount that Ken collected less from selling the small papayas than the medium papayas
= 42 u - 5 u
= 37 u
= 37 x 21
= $777
Answer(s): (a) 63; (b) $777