Anna and Jade used the same number of lychees to bake cakes. Anna used
38 of her lychees and Jade used
57 of her lychees. They had a total of 183 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Anna |
Jade |
Total |
Before |
8x5 = 40 u |
7x3 = 21 u |
61 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
5x5 = 25 u |
2x3 = 6 u |
31 u |
(a)
Anna and Jade used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x58x5 of Mary's lychees =
5x37x3 of Jade's lychees
1540 of Mary's lychees =
1521 of Jade's lychees
Total number of lychees at first
= 40 u + 21 u
= 61 u
61 u = 183
1 u = 183 ÷ 61 = 3
Number of lychees that each girl used
= 15 u
= 15 x 3
= 45
(b)
Total number of lychees that both girls had left
= 25 u + 6 u
= 31 u
= 31 x 3
= 93
Answer(s): (a) 45; (b) 93