Shiyun and Tammy used the same number of raspberries to bake cakes. Shiyun used
37 of her raspberries and Tammy used
45 of her raspberries. They had a total of 258 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Shiyun |
Tammy |
Total |
Before |
7x4 = 28 u |
5x3 = 15 u |
43 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
|
After |
4x4 = 16 u |
1x3 = 3 u |
19 u |
(a)
Shiyun and Tammy used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x47x4 of Mary's raspberries =
4x35x3 of Tammy's raspberries
1228 of Mary's raspberries =
1215 of Tammy's raspberries
Total number of raspberries at first
= 28 u + 15 u
= 43 u
43 u = 258
1 u = 258 ÷ 43 = 6
Number of raspberries that each girl used
= 12 u
= 12 x 6
= 72
(b)
Total number of raspberries that both girls had left
= 16 u + 3 u
= 19 u
= 19 x 6
= 114
Answer(s): (a) 72; (b) 114