An easter basket contains eggs of three different colors. find the total number of eggs in the basket if 2 7 of all eggs are green, 1 4 of all are blue and the rest 26 eggs are red.

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = × z   ........1

Blue eggs =   × z    .......2

Rest of eggs = 26  ........3

The addition of 1, 2 and 3 is equal to z  

× z + + 26 = z

+ 26 = z                        ∵GCF for 4 and 7 is 28  

 + 26 = z

15z + (26 × 28) = 28z                ∵ multiply both sides by 28

15z + 728 = 28z

28z - 15z = 728     .......... rearranging above equation

13z = 728  ⇒   z =   ⇒  z = 56

Total number of eggs = z = 56