Shiyun, Dana and Elijah baked some croissants. Shiyun and Dana baked ³₄ of the croissants. Dana and Elijah baked ³₅ of the croissants. Shiyun and Elijah baked 377 croissants altogether.

1. What fraction of the croissants did Shiyun and Elijah bake altogether?
2. How many croissants did the three girls bake in total?

Shiyun	Dana	Elijah	Total
3x5		1x5	4x5
2x4	3x4		5x4
8 u	7 u	5 u	20 u

(a)
The total number of croissants remains unchanged. Make the total number of croissants the same. LCM of 4 and 5 is 20.

Number of croissants baked by Dana
= 12 u - 5 u
= 7 u

Number of croissants baked by Shiyun and Elijah
= 8 u + 5 u
= 13 u

Total number of tarts = 20 u

Fraction of the croissants baked by Shiyun and Elijah = ¹³₂₀

(b)
Total number of croissants baked by Shiyun and Elijah = 13 u

13 u = 377

1 u = 377 ÷ 13 = 29

Total number of croissants the three girls baked
= 20 u
= 20 x 29
= 580

Answer(s): (a) ¹³₂₀; (b) 580