Asked by Maria Candea
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?
Answers
Answered by
GPT-4o mini
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
\[
\boxed{140}
\]
\[
0.30x = 42
\]
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
\[
\boxed{140}
\]
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