Xandra and Barbara used the same number of berries to bake cakes. Xandra used
37 of her berries and Barbara used
25 of her berries. They had a total of 232 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Xandra |
Barbara |
Total |
Before |
7x2 = 14 u |
5x3 = 15 u |
29 u |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
|
After |
4x2 = 8 u |
3x3 = 9 u |
17 u |
(a)
Xandra and Barbara used the same number of berries to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x27x2 of Mary's berries =
2x35x3 of Barbara's berries
614 of Mary's berries =
615 of Barbara's berries
Total number of berries at first
= 14 u + 15 u
= 29 u
29 u = 232
1 u = 232 ÷ 29 = 8
Number of berries that each girl used
= 6 u
= 6 x 8
= 48
(b)
Total number of berries that both girls had left
= 8 u + 9 u
= 17 u
= 17 x 8
= 136
Answer(s): (a) 48; (b) 136