Question
Download Solution PDFComprehension
Directions: Study the following information carefully and answer the questions.
The given bar charts show the number of cakes baked (sold + unsold) in four different bakeries, i.e., A, B, C, and D, and also show the number of cakes sold out of the total number of cakes baked.
If the unsold cakes from Bakery C and Bakery D are equally distributed among Bakery A and Bakery B, then what will be the new total number of cakes with Bakery A (sold + unsold + received)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGeneral Solution:
Use the formula:
Cakes Sold = Total Baked × (Percentage Sold / 100)
Cakes Unsold = Total Baked − Cakes Sold
| Bakery | Total Baked | % Sold | Cakes Sold | Cakes Unsold |
|---|---|---|---|---|
| A | 320 | 65% | 320 × 65 ÷ 100 = 208 | 320 − 208 = 112 |
| B | 520 | 40% | 520 × 40 ÷ 100 = 208 | 520 − 208 = 312 |
| C | 240 | 45% | 240 × 45 ÷ 100 = 108 | 240 − 108 = 132 |
| D | 480 | 60% | 480 × 60 ÷ 100 = 288 | 480 − 288 = 192 |
Calculations:
Find unsold cakes of Bakery C and D:
C (unsold) = 132
D (unsold) = 192
Total to distribute = 132 + 192 = 324
Divide equally between A and B:
Each receives = 324 ÷ 2 = 162
Find the original total cakes with Bakery A = 320
New total = 320 + 162 = 482
Thus, the correct answer is 482.
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