Natalie and Winnie used the same number of berries to bake cakes. Natalie used
27 of her berries and Winnie used
57 of her berries. They had a total of 490 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Natalie |
Winnie |
Total |
Before |
7x5 = 35 u |
7x2 = 14 u |
49 u |
Change |
- 2x5 = - 10 u |
- 5x2 = - 10 u |
|
After |
5x5 = 25 u |
2x2 = 4 u |
29 u |
(a)
Natalie and Winnie used the same number of berries to bake cakes. Make the numerators the same. LCM of 2 and 5 is 10.
2x57x5 of Mary's berries =
5x27x2 of Winnie's berries
1035 of Mary's berries =
1014 of Winnie's berries
Total number of berries at first
= 35 u + 14 u
= 49 u
49 u = 490
1 u = 490 ÷ 49 = 10
Number of berries that each girl used
= 10 u
= 10 x 10
= 100
(b)
Total number of berries that both girls had left
= 25 u + 4 u
= 29 u
= 29 x 10
= 290
Answer(s): (a) 100; (b) 290