Diana and Zoe used the same number of lychees to bake cakes. Diana used
58 of her lychees and Zoe used
35 of her lychees. They had a total of 196 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
| |
Diana |
Zoe |
Total |
Before |
8x3 =
24 u |
5x5 =
25 u |
49 u |
Change |
- 5x3 =
- 15 u |
- 3x5 =
- 15 u |
|
After |
3x3 =
9 u |
2x5 =
10 u |
19 u |
(a)
Diana and Zoe used the same number of lychees to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x38x3 of Mary's lychees =
3x55x5 of Zoe's lychees
1524 of Mary's lychees =
1525 of Zoe's lychees
Total number of lychees at first
= 24 u + 25 u
= 49 u
49 u = 196
1 u = 196 ÷ 49 = 4
Number of lychees that each girl used
= 15 u
= 15 x 4
= 60
(b)
Total number of lychees that both girls had left
= 9 u + 10 u
= 19 u
= 19 x 4
= 76
Answer(s): (a) 60; (b) 76
