Difficulty: Hard

Average Score: 25%

Compare the value of the digit 3 in each ofthe numbers shown to the value ofthe digit 3 in the mumber 123,456. Place each number next to the correct description ofthe value of its digit 3.

Marissa just bought 50 acres of land, on which she will plant apple, peach, and cherry trees. If she plants 23 acres of apple trees, what percent of the land is left for planting peach and cherry trees?

Rationale

54% of the land is left for planting peach and cherry trees.

Marissa initially has 50 acres of land and plants 23 acres of apple trees. To find the percentage of land left for peach and cherry trees, we first determine the remaining land and then calculate it as a percentage of the total land.

A (27%) YOUR ANSWER

This choice represents a misunderstanding of the calculation. To arrive at this figure, one might mistakenly subtract the number of acres planted (23) from the total (50), but then incorrectly interpret the remaining land as a smaller percentage of the whole, rather than calculating the correct remaining acres.

B (46%) YOUR ANSWER

This option likely results from incorrect arithmetic. If one subtracts 23 from 50, they find 27 acres remaining. However, calculating 27 acres as a percentage of 50 does not yield 46%. Instead, this figure might come from a misinterpretation of the remaining land's proportion.

C (54%) CORRECT

This is the correct answer. After planting 23 acres of apple trees, Marissa has 50 - 23 = 27 acres left. To find out what percent of the total land this remaining area represents, we calculate (27/50) * 100 = 54%. Therefore, 54% of the land is available for peach and cherry trees.

D (77%) YOUR ANSWER

This choice indicates a significant error in calculation. It suggests that a large portion of the land remains unaccounted for, possibly resulting from an incorrect assumption about the number of acres left after planting the apple trees. The correct calculation reveals only 54% is available, not 77%.

Conclusion

Marissa has 50 acres of land, and after planting 23 acres of apple trees, she has 27 acres left for other trees. The calculation shows that this remaining area constitutes 54% of the total land, which is crucial for planning the planting of peach and cherry trees efficiently. The other options reflect various misunderstandings of basic percentage calculations.

Marissa just bought 50 acres of land, on which she will plant apple, peach, and cherry trees. If she plants 23 acres of apple trees, what percent of the land is left for planting peach and cherry trees?

54% of the land is left for planting peach and cherry trees.

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