Small coconuts |
Medium coconuts |
Large coconuts |
$2 |
$5 |
$7 |
Sam had some coconuts in 3 sizes. The number of medium coconuts was five times the number of large coconuts. The number of large coconuts were four times the number of small coconuts. He sold all the small and medium coconuts. He received $168 from selling
14 of the large coconuts.Sam had some coconuts in 3 sizes.
He sold all the small and medium coconuts. He received $168 from selling
14 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 |
|
5x4 |
1x4 |
1x1 |
|
4x1 |
1 u |
20 u |
4 u |
(a)
The number of large coconuts is the repeated identity. Make the number of large coconuts the same. LCM of 1 and 4 is 4.
|
Small coconuts |
Medium coconuts |
Large coconuts |
Before |
1 u |
20 u |
4 u |
Change |
- 1 u |
- 20 u |
- 1 u |
After |
0 |
0 |
3 u |
Number of large coconuts that Sam sold
=
14 x 4 u
= 1 u
|
Small coconuts |
Medium coconuts |
Large coconuts |
Number |
1 u |
20 u |
1 u |
Value |
$2 |
$5 |
$7 |
Total value |
2 u |
100 u |
7 u |
Amount that Sam received from selling of
14 of the large coconuts = 7 u
7 u = 168
1 u = 168 ÷ 7 = 24
Number of medium coconuts at first
= 20 u
= 20 x 24
= 480
(b)
Amount that Sam collected more from selling the medium coconuts than the small coconuts
= 100 u - 2 u
= 98 u
= 98 x 24
= $2352
Answer(s): (a) 480; (b) $2352