Eliza found that 42 of the eggs in the box were cracked. Of all of the eggs in the box, 30% were cracked. How many eggs were in the box?

Answer 1

Let \( x \) be the total number of eggs in the box. According to the problem, 30% of the eggs were cracked, and we know that the number of cracked eggs is 42. This gives us the equation:

\[ 0.30x = 42 \]

To find \( x \), we can solve for it by dividing both sides of the equation by 0.30:

\[ x = \frac{42}{0.30} \]

Calculating the right-hand side:

\[ x = \frac{42}{0.30} = 42 \div 0.30 = 42 \times \frac{100}{30} = 42 \times \frac{10}{3} = 140 \]

Thus, the total number of eggs in the box is

\[ \boxed{140} \]