Small peaches |
Medium peaches |
Large peaches |
$4 |
$7 |
$9 |
Sean had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were five times the number of small peaches. He sold all the small and medium peaches. He received $486 from selling
35 of the large peaches.
- How many large peaches did he have at first?
- How much less did he collect from selling the small peaches than the medium peaches?
Small peaches |
Medium peaches |
Large peaches |
|
2x5 |
1x5 |
1x1 |
|
5x1 |
1 u |
10 u |
5 u |
(a)
The number of large peaches is the repeated identity. Make the number of large peaches the same. LCM of 1 and 5 is 5.
|
Small peaches |
Medium peaches |
Large peaches |
Before |
1 u |
10 u |
5 u |
Change |
- 1 u |
- 10 u |
- 3 u |
After |
0 |
0 |
2 u |
Number of large peaches that Sean sold
=
35 x 5 u
= 3 u
|
Small peaches |
Medium peaches |
Large peaches |
Number |
1 u |
10 u |
3 u |
Value |
$4 |
$7 |
$9 |
Total value |
4 u |
70 u |
27 u |
Amount that Sean received from selling of
35 of the large peaches = 27 u
27 u = 486
1 u = 486 ÷ 27 = 18
Number of large peaches at first
= 5 u
= 5 x 18
= 90
(b)
Amount that Sean collected less from selling the small peaches than the medium peaches
= 70 u - 4 u
= 66 u
= 66 x 18
= $1188
Answer(s): (a) 90; (b) $1188