Jen and Cindy used the same number of chocolate chips to bake cakes. Jen used ⁵₇ of her chocolate chips and Cindy used ²₇ of her chocolate chips. They had a total of 196 chocolate chips at first.

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

	Jen	Cindy	Total
Before	7x2 = 14 u	7x5 = 35 u	49 u
Change	- 5x2 = - 10 u	- 2x5 = - 10 u
After	2x2 = 4 u	5x5 = 25 u	29 u

(a)
Jen and Cindy used the same number of chocolate chips to bake cakes.  Make the numerators the same. LCM of 5 and 2 is 10. 
5x27x2 of Mary's chocolate chips = 2x57x5 of Cindy's chocolate chips 
1014 of Mary's chocolate chips = 1035 of Cindy's chocolate chips 

Total number of chocolate chips at first
= 14 u + 35 u
= 49 u

49 u = 196

1 u = 196 ÷ 49 = 4

Number of chocolate chips that each girl used
= 10 u
= 10 x 4
= 40 

(b)
Total number of chocolate chips that both girls had left 
= 4 u + 25 u
= 29 u
= 29 x 4
= 116

Answer(s): (a) 40; (b) 116