Natalie and Pamela used the same number of berries to bake cakes. Natalie used
35 of her berries and Pamela used
57 of her berries. They had a total of 414 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Natalie |
Pamela |
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)
Natalie and Pamela used the same number of berries to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x55x5 of Mary's berries =
5x37x3 of Pamela's berries
1525 of Mary's berries =
1521 of Pamela's berries
Total number of berries at first
= 25 u + 21 u
= 46 u
46 u = 414
1 u = 414 ÷ 46 = 9
Number of berries that each girl used
= 15 u
= 15 x 9
= 135
(b)
Total number of berries that both girls had left
= 10 u + 6 u
= 16 u
= 16 x 9
= 144
Answer(s): (a) 135; (b) 144