Dana and Jen used the same number of berries to bake cakes. Dana used
34 of her berries and Jen used
27 of her berries. They had a total of 145 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
| |
Dana |
Jen |
Total |
Before |
4x2 =
8 u |
7x3 =
21 u |
29 u |
Change |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
|
After |
1x2 =
2 u |
5x3 =
15 u |
17 u |
(a)
Dana and Jen used the same number of berries to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x24x2 of Mary's berries =
2x37x3 of Jen's berries
68 of Mary's berries =
621 of Jen's berries
Total number of berries at first
= 8 u + 21 u
= 29 u
29 u = 145
1 u = 145 ÷ 29 = 5
Number of berries that each girl used
= 6 u
= 6 x 5
= 30
(b)
Total number of berries that both girls had left
= 2 u + 15 u
= 17 u
= 17 x 5
= 85
Answer(s): (a) 30; (b) 85
