Small avocados |
Medium avocados |
Large avocados |
$2 |
$7 |
$9 |
Ian had some avocados in 3 sizes. The number of medium avocados was four times the number of large avocados. The number of large avocados were thrice the number of small avocados. He sold all the small and medium avocados. He received $324 from selling
23 of the large avocados.Ian had some avocados in 3 sizes.
He sold all the small and medium avocados. He received $324 from selling
23 of the large avocados.
- How many medium avocados did he have at first?
- How much more did he collect from selling the medium avocados than the small avocados?
Small avocados |
Medium avocados |
Large avocados |
|
4x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
12 u |
3 u |
(a)
The number of large avocados is the repeated identity. Make the number of large avocados the same. LCM of 1 and 3 is 3.
|
Small avocados |
Medium avocados |
Large avocados |
Before |
1 u |
12 u |
3 u |
Change |
- 1 u |
- 12 u |
- 2 u |
After |
0 |
0 |
1 u |
Number of large avocados that Ian sold
=
23 x 3 u
= 2 u
|
Small avocados |
Medium avocados |
Large avocados |
Number |
1 u |
12 u |
2 u |
Value |
$2 |
$7 |
$9 |
Total value |
2 u |
84 u |
18 u |
Amount that Ian received from selling of
23 of the large avocados = 18 u
18 u = 324
1 u = 324 ÷ 18 = 18
Number of medium avocados at first
= 12 u
= 12 x 18
= 216
(b)
Amount that Ian collected more from selling the medium avocados than the small avocados
= 84 u - 2 u
= 82 u
= 82 x 18
= $1476
Answer(s): (a) 216; (b) $1476