Comprehension: Bakery shops in a city prepare three different varieties of…
2024
Comprehension: Bakery shops in a city prepare three different varieties of hotcakes, namely, Cornmeal, American and Swedish. The following table shows the total number of hotcakes (three varieties together) sold by four different bakery shops, namely A, B, C and D on Monday along with the number of Cornmeal hotcakes sold and the difference between the number of American hotcakes and Cornmeal hotcakes sold. Based on the data in the table, answer the questions that follow.
Note: (1) Total numbers of hotcakes sold = sum of sale of number of Cornmeal, American and Swedish hotcakes
(2) Number of American hotcakes sold is always greater than the number of Cornmeal hotcakes sold
If the number of cornmeal hotcakes sold by bakery B on Tuesday (that is, the next day) is 20% more than that on Monday, the ratio of the number of American hotcakes to Swedish hotcakes by bakery B on Tuesday is 4:5. and the number of American hotcakes sold by bakery B on Tuesday is 320, then what is the total number of hotcakes sold by bakery B on Tuesday?
- A.
1056
- B.
1150
- C.
1200
- D.
1000
Attempted by 12 students.
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Correct answer: A
From the table, Bakery B sold 280 Cornmeal hotcakes on Monday.
A 20% increase means the number sold on Tuesday is 280 × 1.2 = 336.
The number of American hotcakes sold on Tuesday is given as 320, and the ratio of American to Swedish hotcakes is 4:5.
This means for every 4 parts American, there are 5 parts Swedish. Since 320 corresponds to 4 parts, each part is 80 (320 ÷ 4).
Therefore, Swedish hotcakes sold are 5 × 80 = 400.
The total number of hotcakes sold is the sum: American (320) + Cornmeal (336) + Swedish (400) = 1056.