Anna and Tammy used the same number of lychees to bake cakes. Anna used
38 of her lychees and Tammy used
58 of her lychees. They had a total of 448 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Anna |
Tammy |
Total |
Before |
8x5 = 40 u |
8x3 = 24 u |
64 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
5x5 = 25 u |
3x3 = 9 u |
34 u |
(a)
Anna and Tammy 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 =
5x38x3 of Tammy's lychees
1540 of Mary's lychees =
1524 of Tammy's lychees
Total number of lychees at first
= 40 u + 24 u
= 64 u
64 u = 448
1 u = 448 ÷ 64 = 7
Number of lychees that each girl used
= 15 u
= 15 x 7
= 105
(b)
Total number of lychees that both girls had left
= 25 u + 9 u
= 34 u
= 34 x 7
= 238
Answer(s): (a) 105; (b) 238