Answer:
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