Emma and Natalie used the same number of berries to bake cakes. Emma used
34 of her berries and Natalie used
57 of her berries. They had a total of 287 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
| |
Emma |
Natalie |
Total |
Before |
4x5 =
20 u |
7x3 =
21 u |
41 u |
Change |
- 3x5 =
- 15 u |
- 5x3 =
- 15 u |
|
After |
1x5 =
5 u |
2x3 =
6 u |
11 u |
(a)
Emma and Natalie used the same number of berries to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x54x5 of Mary's berries =
5x37x3 of Natalie's berries
1520 of Mary's berries =
1521 of Natalie's berries
Total number of berries at first
= 20 u + 21 u
= 41 u
41 u = 287
1 u = 287 ÷ 41 = 7
Number of berries that each girl used
= 15 u
= 15 x 7
= 105
(b)
Total number of berries that both girls had left
= 5 u + 6 u
= 11 u
= 11 x 7
= 77
Answer(s): (a) 105; (b) 77
