Small peaches |
Medium peaches |
Large peaches |
$3 |
$6 |
$9 |
Gabriel had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were thrice the number of small peaches. He sold all the small and medium peaches. He received $117 from selling
13 of the large peaches.Gabriel had some peaches in 3 sizes.
He sold all the small and medium peaches. He received $117 from selling
13 of the large peaches.
- How many medium peaches did he have at first?
- How much more did he collect from selling the medium peaches than the small peaches?
Small peaches |
Medium peaches |
Large peaches |
|
2x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
6 u |
3 u |
(a)
The number of large peaches is the repeated identity. Make the number of large peaches the same. LCM of 1 and 3 is 3.
|
Small peaches |
Medium peaches |
Large peaches |
Before |
1 u |
6 u |
3 u |
Change |
- 1 u |
- 6 u |
- 1 u |
After |
0 |
0 |
2 u |
Number of large peaches that Gabriel sold
=
13 x 3 u
= 1 u
|
Small peaches |
Medium peaches |
Large peaches |
Number |
1 u |
6 u |
1 u |
Value |
$3 |
$6 |
$9 |
Total value |
3 u |
36 u |
9 u |
Amount that Gabriel received from selling of
13 of the large peaches = 9 u
9 u = 117
1 u = 117 ÷ 9 = 13
Number of medium peaches at first
= 6 u
= 6 x 13
= 78
(b)
Amount that Gabriel collected more from selling the medium peaches than the small peaches
= 36 u - 3 u
= 33 u
= 33 x 13
= $429
Answer(s): (a) 78; (b) $429