Vanessa and Kathy used the same number of chocolate chips to bake cakes. Vanessa used ²₅ of her chocolate chips and Kathy used ⁵₈ of her chocolate chips. They had a total of 82 chocolate chips at first.

1. How many chocolate chips did each girl use?
2. How many chocolate chips did both girls have left altogether?

	Vanessa	Kathy	Total
Before	5x5 = 25 u	8x2 = 16 u	41 u
Change	- 2x5 = - 10 u	- 5x2 = - 10 u
After	3x5 = 15 u	3x2 = 6 u	21 u

(a)
Vanessa and Kathy used the same number of chocolate chips to bake cakes.  Make the numerators the same. LCM of 2 and 5 is 10. 
2x55x5 of Mary's chocolate chips = 5x28x2 of Kathy's chocolate chips 
1025 of Mary's chocolate chips = 1016 of Kathy's chocolate chips 

Total number of chocolate chips at first
= 25 u + 16 u
= 41 u

41 u = 82

1 u = 82 ÷ 41 = 2

Number of chocolate chips that each girl used
= 10 u
= 10 x 2
= 20 

(b)
Total number of chocolate chips that both girls had left 
= 15 u + 6 u
= 21 u
= 21 x 2
= 42

Answer(s): (a) 20; (b) 42