Small avocados |
Medium avocados |
Large avocados |
$2 |
$3 |
$9 |
John had some avocados in 3 sizes. The number of medium avocados was twice the number of large avocados. The number of large avocados were five times the number of small avocados. He sold all the small and medium avocados. He received $153 from selling
15 of the large avocados.
- How many large avocados did he have at first?
- How much less did he collect from selling the small avocados than the medium avocados?
Small avocados |
Medium avocados |
Large avocados |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large avocados is the repeated identity. Make the number of large avocados the same. LCM of 1 and 5 is 5.
|
Small avocados |
Medium avocados |
Large avocados |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 1 u |
After |
0 |
0 |
4 u |
Number of large avocados that John sold
=
15 x 5 u
= 1 u
|
Small avocados |
Medium avocados |
Large avocados |
Number |
1 u |
10 u |
1 u |
Value |
$2 |
$3 |
$9 |
Total value |
2 u |
30 u |
9 u |
Amount that John received from selling of
15 of the large avocados = 9 u
9 u = 153
1 u = 153 ÷ 9 = 17
Number of large avocados at first
= 5 u
= 5 x 17
= 85
(b)
Amount that John collected less from selling the small avocados than the medium avocados
= 30 u - 2 u
= 28 u
= 28 x 17
= $476
Answer(s): (a) 85; (b) $476