Penelope and Erika used the same number of blueberries to bake cakes. Penelope used
34 of her blueberries and Erika used
57 of her blueberries. They had a total of 164 blueberries at first.
- How many blueberries did each girl use?
- How many blueberries did both girls have left altogether?
| |
Penelope |
Erika |
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)
Penelope and Erika used the same number of blueberries to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x54x5 of Mary's blueberries =
5x37x3 of Erika's blueberries
1520 of Mary's blueberries =
1521 of Erika's blueberries
Total number of blueberries at first
= 20 u + 21 u
= 41 u
41 u = 164
1 u = 164 ÷ 41 = 4
Number of blueberries that each girl used
= 15 u
= 15 x 4
= 60
(b)
Total number of blueberries that both girls had left
= 5 u + 6 u
= 11 u
= 11 x 4
= 44
Answer(s): (a) 60; (b) 44
