Small coconuts |
Medium coconuts |
Large coconuts |
$2 |
$3 |
$4 |
Luke had some coconuts in 3 sizes. The number of medium coconuts was four times the number of large coconuts. The number of large coconuts were five times the number of small coconuts. He sold all the small and medium coconuts. He received $184 from selling
25 of the large coconuts.Luke had some coconuts in 3 sizes.
He sold all the small and medium coconuts. He received $184 from selling
25 of the large coconuts.
- How many medium coconuts did he have at first?
- How much more did he collect from selling the medium coconuts than the small coconuts?
Small coconuts |
Medium coconuts |
Large coconuts |
|
4x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
20 u |
5 u |
(a)
The number of large coconuts is the repeated identity. Make the number of large coconuts the same. LCM of 1 and 5 is 5.
|
Small coconuts |
Medium coconuts |
Large coconuts |
Before |
1 u |
20 u |
5 u |
Change |
- 1 u |
- 20 u |
- 2 u |
After |
0 |
0 |
3 u |
Number of large coconuts that Luke sold
=
25 x 5 u
= 2 u
|
Small coconuts |
Medium coconuts |
Large coconuts |
Number |
1 u |
20 u |
2 u |
Value |
$2 |
$3 |
$4 |
Total value |
2 u |
60 u |
8 u |
Amount that Luke received from selling of
25 of the large coconuts = 8 u
8 u = 184
1 u = 184 ÷ 8 = 23
Number of medium coconuts at first
= 20 u
= 20 x 23
= 460
(b)
Amount that Luke collected more from selling the medium coconuts than the small coconuts
= 60 u - 2 u
= 58 u
= 58 x 23
= $1334
Answer(s): (a) 460; (b) $1334