Erika and Risa used the same number of chocolate chips to bake cakes. Erika used
37 of her chocolate chips and Risa used
47 of her chocolate chips. They had a total of 490 chocolate chips at first.
- How many chocolate chips did each girl use?
- How many chocolate chips did both girls have left altogether?
|
Erika |
Risa |
Total |
Before |
7x4 = 28 u |
7x3 = 21 u |
49 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
|
After |
4x4 = 16 u |
3x3 = 9 u |
25 u |
(a)
Erika and Risa used the same number of chocolate chips to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x47x4 of Mary's chocolate chips =
4x37x3 of Risa's chocolate chips
1228 of Mary's chocolate chips =
1221 of Risa's chocolate chips
Total number of chocolate chips at first
= 28 u + 21 u
= 49 u
49 u = 490
1 u = 490 ÷ 49 = 10
Number of chocolate chips that each girl used
= 12 u
= 12 x 10
= 120
(b)
Total number of chocolate chips that both girls had left
= 16 u + 9 u
= 25 u
= 25 x 10
= 250
Answer(s): (a) 120; (b) 250