Olivia and Barbara used the same number of strawberries to bake cakes. Olivia used ³₄ of her strawberries and Barbara used ⁵₇ of her strawberries. They had a total of 246 strawberries at first.

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

	Olivia	Barbara	Total
Before	4x5 = 20 u	7x3 = 21 u	41 u
Change	- 3x5 = - 15 u	- 5x3 = - 15 u
After	1x5 = 5 u	2x3 = 6 u	11 u

(a)
Olivia and Barbara used the same number of strawberries to bake cakes.  Make the numerators the same. LCM of 3 and 5 is 15. 
3x54x5 of Mary's strawberries = 5x37x3 of Barbara's strawberries 
1520 of Mary's strawberries = 1521 of Barbara's strawberries 

Total number of strawberries at first
= 20 u + 21 u
= 41 u

41 u = 246

1 u = 246 ÷ 41 = 6

Number of strawberries that each girl used
= 15 u
= 15 x 6
= 90 

(b)
Total number of strawberries that both girls had left 
= 5 u + 6 u
= 11 u
= 11 x 6
= 66

Answer(s): (a) 90; (b) 66