Small coconuts |
Medium coconuts |
Large coconuts |
$2 |
$5 |
$8 |
Cole 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 thrice the number of small coconuts. He sold all the small and medium coconuts. He received $152 from selling
13 of the large coconuts.Cole had some coconuts in 3 sizes.
He sold all the small and medium coconuts. He received $152 from selling
13 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 |
|
4x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
12 u |
3 u |
(a)
The number of large coconuts is the repeated identity. Make the number of large coconuts the same. LCM of 1 and 3 is 3.
|
Small coconuts |
Medium coconuts |
Large coconuts |
Before |
1 u |
12 u |
3 u |
Change |
- 1 u |
- 12 u |
- 1 u |
After |
0 |
0 |
2 u |
Number of large coconuts that Cole sold
=
13 x 3 u
= 1 u
|
Small coconuts |
Medium coconuts |
Large coconuts |
Number |
1 u |
12 u |
1 u |
Value |
$2 |
$5 |
$8 |
Total value |
2 u |
60 u |
8 u |
Amount that Cole received from selling of
13 of the large coconuts = 8 u
8 u = 152
1 u = 152 ÷ 8 = 19
Number of medium coconuts at first
= 12 u
= 12 x 19
= 228
(b)
Amount that Cole collected more from selling the medium coconuts than the small coconuts
= 60 u - 2 u
= 58 u
= 58 x 19
= $1102
Answer(s): (a) 228; (b) $1102