Risa and Vanessa used the same number of blueberries to bake cakes. Risa used
45 of her blueberries and Vanessa used
37 of her blueberries. They had a total of 172 blueberries at first.
- How many blueberries did each girl use?
- How many blueberries did both girls have left altogether?
|
Risa |
Vanessa |
Total |
Before |
5x3 = 15 u |
7x4 = 28 u |
43 u |
Change |
- 4x3 = - 12 u |
- 3x4 = - 12 u |
|
After |
1x3 = 3 u |
4x4 = 16 u |
19 u |
(a)
Risa and Vanessa used the same number of blueberries to bake cakes. Make the numerators the same. LCM of 4 and 3 is 12.
4x35x3 of Mary's blueberries =
3x47x4 of Vanessa's blueberries
1215 of Mary's blueberries =
1228 of Vanessa's blueberries
Total number of blueberries at first
= 15 u + 28 u
= 43 u
43 u = 172
1 u = 172 ÷ 43 = 4
Number of blueberries that each girl used
= 12 u
= 12 x 4
= 48
(b)
Total number of blueberries that both girls had left
= 3 u + 16 u
= 19 u
= 19 x 4
= 76
Answer(s): (a) 48; (b) 76