Wendy and Kimberly used the same number of raspberries to bake cakes. Wendy used
35 of her raspberries and Kimberly used
58 of her raspberries. They had a total of 490 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Wendy |
Kimberly |
Total |
Before |
5x5 = 25 u |
8x3 = 24 u |
49 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
2x5 = 10 u |
3x3 = 9 u |
19 u |
(a)
Wendy and Kimberly used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x55x5 of Mary's raspberries =
5x38x3 of Kimberly's raspberries
1525 of Mary's raspberries =
1524 of Kimberly's raspberries
Total number of raspberries at first
= 25 u + 24 u
= 49 u
49 u = 490
1 u = 490 ÷ 49 = 10
Number of raspberries that each girl used
= 15 u
= 15 x 10
= 150
(b)
Total number of raspberries that both girls had left
= 10 u + 9 u
= 19 u
= 19 x 10
= 190
Answer(s): (a) 150; (b) 190