Shannon and Gillian used the same number of lychees to bake cakes. Shannon used
34 of her lychees and Gillian used
45 of her lychees. They had a total of 186 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
| |
Shannon |
Gillian |
Total |
Before |
4x4 =
16 u |
5x3 =
15 u |
31 u |
Change |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
|
After |
1x4 =
4 u |
1x3 =
3 u |
7 u |
(a)
Shannon and Gillian used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x44x4 of Mary's lychees =
4x35x3 of Gillian's lychees
1216 of Mary's lychees =
1215 of Gillian's lychees
Total number of lychees at first
= 16 u + 15 u
= 31 u
31 u = 186
1 u = 186 ÷ 31 = 6
Number of lychees that each girl used
= 12 u
= 12 x 6
= 72
(b)
Total number of lychees that both girls had left
= 4 u + 3 u
= 7 u
= 7 x 6
= 42
Answer(s): (a) 72; (b) 42
