Small coconuts |
Medium coconuts |
Large coconuts |
$3 |
$6 |
$8 |
Valen 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 $96 from selling
15 of the large coconuts.
- How many large coconuts did he have at first?
- How much less did he collect from selling the small coconuts than the medium 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 |
- 1 u |
After |
0 |
0 |
4 u |
Number of large coconuts that Valen sold
=
15 x 5 u
= 1 u
|
Small coconuts |
Medium coconuts |
Large coconuts |
Number |
1 u |
20 u |
1 u |
Value |
$3 |
$6 |
$8 |
Total value |
3 u |
120 u |
8 u |
Amount that Valen received from selling of
15 of the large coconuts = 8 u
8 u = 96
1 u = 96 ÷ 8 = 12
Number of large coconuts at first
= 5 u
= 5 x 12
= 60
(b)
Amount that Valen collected less from selling the small coconuts than the medium coconuts
= 120 u - 3 u
= 117 u
= 117 x 12
= $1404
Answer(s): (a) 60; (b) $1404