Jean and Risa used the same number of longans to bake cakes. Jean used
57 of her longans and Risa used
37 of her longans. They had a total of 224 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
|
Jean |
Risa |
Total |
Before |
7x3 = 21 u |
7x5 = 35 u |
56 u |
Change |
- 5x3 = - 15 u |
- 3x5 = - 15 u |
|
After |
2x3 = 6 u |
4x5 = 20 u |
26 u |
(a)
Jean and Risa used the same number of longans to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x37x3 of Mary's longans =
3x57x5 of Risa's longans
1521 of Mary's longans =
1535 of Risa's longans
Total number of longans at first
= 21 u + 35 u
= 56 u
56 u = 224
1 u = 224 ÷ 56 = 4
Number of longans that each girl used
= 15 u
= 15 x 4
= 60
(b)
Total number of longans that both girls had left
= 6 u + 20 u
= 26 u
= 26 x 4
= 104
Answer(s): (a) 60; (b) 104