Small apricots |
Medium apricots |
Large apricots |
$6 |
$7 |
$9 |
Mark had some apricots in 3 sizes. The number of medium apricots was twice the number of large apricots. The number of large apricots were thrice the number of small apricots. He sold all the small and medium apricots. He received $450 from selling
23 of the large apricots.Mark had some apricots in 3 sizes.
He sold all the small and medium apricots. He received $450 from selling
23 of the large apricots.
- How many medium apricots did he have at first?
- How much more did he collect from selling the medium apricots than the small apricots?
Small apricots |
Medium apricots |
Large apricots |
|
2x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
6 u |
3 u |
(a)
The number of large apricots is the repeated identity. Make the number of large apricots the same. LCM of 1 and 3 is 3.
|
Small apricots |
Medium apricots |
Large apricots |
Before |
1 u |
6 u |
3 u |
Change |
- 1 u |
- 6 u |
- 2 u |
After |
0 |
0 |
1 u |
Number of large apricots that Mark sold
=
23 x 3 u
= 2 u
|
Small apricots |
Medium apricots |
Large apricots |
Number |
1 u |
6 u |
2 u |
Value |
$6 |
$7 |
$9 |
Total value |
6 u |
42 u |
18 u |
Amount that Mark received from selling of
23 of the large apricots = 18 u
18 u = 450
1 u = 450 ÷ 18 = 25
Number of medium apricots at first
= 6 u
= 6 x 25
= 150
(b)
Amount that Mark collected more from selling the medium apricots than the small apricots
= 42 u - 6 u
= 36 u
= 36 x 25
= $900
Answer(s): (a) 150; (b) $900