Small papayas |
Medium papayas |
Large papayas |
$4 |
$6 |
$8 |
Henry had some papayas in 3 sizes. The number of medium papayas was twice the number of large papayas. The number of large papayas were four times the number of small papayas. He sold all the small and medium papayas. He received $160 from selling
14 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 |
|
2x4 |
1x4 |
1x1 |
|
4x1 |
1 u |
8 u |
4 u |
(a)
The number of large papayas is the repeated identity. Make the number of large papayas the same. LCM of 1 and 4 is 4.
|
Small papayas |
Medium papayas |
Large papayas |
Before |
1 u |
8 u |
4 u |
Change |
- 1 u |
- 8 u |
- 1 u |
After |
0 |
0 |
3 u |
Number of large papayas that Henry sold
=
14 x 4 u
= 1 u
|
Small papayas |
Medium papayas |
Large papayas |
Number |
1 u |
8 u |
1 u |
Value |
$4 |
$6 |
$8 |
Total value |
4 u |
48 u |
8 u |
Amount that Henry received from selling of
14 of the large papayas = 8 u
8 u = 160
1 u = 160 ÷ 8 = 20
Number of large papayas at first
= 4 u
= 4 x 20
= 80
(b)
Amount that Henry collected less from selling the small papayas than the medium papayas
= 48 u - 4 u
= 44 u
= 44 x 20
= $880
Answer(s): (a) 80; (b) $880