Penelope and Opal used the same number of lychees to bake cakes. Penelope used
35 of her lychees and Opal used
57 of her lychees. They had a total of 276 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Penelope |
Opal |
Total |
Before |
5x5 = 25 u |
7x3 = 21 u |
46 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
2x5 = 10 u |
2x3 = 6 u |
16 u |
(a)
Penelope and Opal used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x55x5 of Mary's lychees =
5x37x3 of Opal's lychees
1525 of Mary's lychees =
1521 of Opal's lychees
Total number of lychees at first
= 25 u + 21 u
= 46 u
46 u = 276
1 u = 276 ÷ 46 = 6
Number of lychees that each girl used
= 15 u
= 15 x 6
= 90
(b)
Total number of lychees that both girls had left
= 10 u + 6 u
= 16 u
= 16 x 6
= 96
Answer(s): (a) 90; (b) 96