For another bakery E, if the total number of hotcakes sold is 120 less than…

2024

For another bakery E, if the total number of hotcakes sold is 120 less than that of bakery D, number of Cornmeal hotcakes sold is 40% of the total number of hotcakes sold by E, number of American hotcakes sold is 35% of the total number of hotcakes sold by E and the remaining are Swedish hotcakes sold by E, then what is the number of Swedish hotcakes sold by bakery E?

Answer: B. 300Concept. When several parts of one total are quoted as percentages of that same total, those percentage shares must add up to 100%. The share of the part that…

  1. A.

    210

  2. B.

    300

  3. C.

    250

  4. D.

    400

Show answer & explanation

Correct answer: B

Concept. When several parts of one total are quoted as percentages of that same total, those percentage shares must add up to 100%. The share of the part that is not quoted is therefore 100% minus the sum of the quoted shares, and its count is that leftover share taken of the total. Alongside this, a quantity described as “x less than y” simply means y − x.

Applying it here.

  1. Total for bakery E: the table lists bakery D's total as 1320, and E sells 120 fewer, so E's total = 1320 − 120 = 1200 hotcakes.

  2. Cornmeal hotcakes of E = 40% of 1200 = 480.

  3. American hotcakes of E = 35% of 1200 = 420.

  4. Swedish hotcakes are the variety left over, so their share = 100% − 40% − 35% = 25%, and 25% of 1200 = 300.

Cross-check. Add the three varieties back: 480 + 420 + 300 = 1200, exactly bakery E's total, and the three shares 40% + 35% + 25% = 100%. Subtracting directly gives the same value: 1200 − 480 − 420 = 300.

Note. The table's fourth column (the difference between American and Cornmeal hotcakes), read together with note (2), is what lets you split bakeries A to D, where the American count is not stated directly: note (2) tells you which of the two counts is larger, so the difference can be applied in the right direction. Bakery E needs neither. Its Cornmeal and American counts are given directly as percentages of E's own total, so note (2) is a reading rule for the tabulated bakeries A to D and does not govern the hypothetical bakery E introduced in this question; E's split is fixed entirely by the percentages stated in the question.

Bakery E therefore sold 300 Swedish hotcakes.

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