Sushma multiplied the number of eggs in her basket by 312. The answer was a number between 4000 and 4300. What could be the number of eggs in her basket?

Answer

To find the possible number of eggs, we need to determine how many eggs fit the condition that when multiplied by 312, the result falls between 4000 and 4300. We start with the equation: 4000 < 312 * x < 4300 Dividing the entire inequality by 312 gives: 4000 / 312 < x < 4300 / 312 Calculating the bounds: 4000 / 312 ≈ 12.82 4300 / 312 ≈ 13.78 This means: 12.82 < x < 13.78 The only integer that falls within this range is 13. Now, let's check the options provided: A. 10 → 312 * 10 = 3120 (not between 4000 and 4300) B. 11 → 312 * 11 = 3432 (not between 4000 and 4300) C. 13 → 312 * 13 = 4056 (this is between 4000 and 4300) D. 20 → 312 * 20 = 6240 (not between 4000 and 4300) Thus, the only number of eggs in her basket that satisfies the condition is 13.