Question

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.

Answer 1

Answer:

15/28

Step-by-step explanation:

2/7 plus 1/4 plus 26 is 15/28

Answer 2

Answer:

Total number of eggs in basket = 56

Step-by-step explanation:

Let z be the total number of eggs

Green eggs = $\frac{2}{7}$ × z   ........1

Blue eggs =  $\frac{1}{4}$ × z    .......2

Rest of eggs = 26  ........3

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

$\frac{2}{7}$ × z + $\frac{1}{4}$ + 26 = z

$\frac{8z + 7 z}{28}$ + 26 = z                        ∵GCF for 4 and 7 is 28  

$\frac{15z}{28}$  + 26 = z

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

15z + 728 = 28z

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

13z = 728  ⇒   z = $\frac{728}{13}$   ⇒  z = 56

Total number of eggs = z = 56