Small apricots |
Medium apricots |
Large apricots |
$4 |
$6 |
$9 |
Pierre had some apricots in 3 sizes. The number of medium apricots was twice the number of large apricots. The number of large apricots were five times the number of small apricots. He sold all the small and medium apricots. He received $306 from selling
25 of the large apricots.Pierre had some apricots in 3 sizes.
He sold all the small and medium apricots. He received $306 from selling
25 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 |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large apricots is the repeated identity. Make the number of large apricots the same. LCM of 1 and 5 is 5.
|
Small apricots |
Medium apricots |
Large apricots |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 2 u |
After |
0 |
0 |
3 u |
Number of large apricots that Pierre sold
=
25 x 5 u
= 2 u
|
Small apricots |
Medium apricots |
Large apricots |
Number |
1 u |
10 u |
2 u |
Value |
$4 |
$6 |
$9 |
Total value |
4 u |
60 u |
18 u |
Amount that Pierre received from selling of
25 of the large apricots = 18 u
18 u = 306
1 u = 306 ÷ 18 = 17
Number of medium apricots at first
= 10 u
= 10 x 17
= 170
(b)
Amount that Pierre collected more from selling the medium apricots than the small apricots
= 60 u - 4 u
= 56 u
= 56 x 17
= $952
Answer(s): (a) 170; (b) $952