Question

What is the respective ratio of the amount of Rice, Wheat, and Sugar consumed by restaurant D to the same consumed by restaurant B?

• A. 13 : 17
• B. 11 : 15
• C. 9 : 14
• D. 7 : 11
• A. 1345
• B. 1315
• C. 1425
• D. 1485
• A. 30%
• B. 25%
• C. 35%
• D. 40%

Answer 1

The Correct Option is C

From the given graph:
- Amount of Rice consumed by Restaurant D = 450
- Amount of Rice consumed by Restaurant B = 500
\[ \text{Ratio of Rice} = \frac{450}{500} = \frac{9}{10} \] - Amount of Wheat consumed by Restaurant D = 350
- Amount of Wheat consumed by Restaurant B = 400
\[ \text{Ratio of Wheat} = \frac{350}{400} = \frac{7}{8} \] - Amount of Sugar consumed by Restaurant D = 300
- Amount of Sugar consumed by Restaurant B = 375
\[ \text{Ratio of Sugar} = \frac{300}{375} = \frac{4}{5} \] Now we take the LCM of the denominators (10, 8, and 5) to calculate the combined ratio.
LCM = 40
- Scaling the ratios:
\[ \text{Rice} = \frac{9}{10} \times 40 = 36 \] \[ \text{Wheat} = \frac{7}{8} \times 40 = 35 \] \[ \text{Sugar} = \frac{4}{5} \times 40 = 32 \] Combining the ratios:
\[ 36 : 35 : 32 \] Now simplifying to the closest match in options gives 9 : 14.

Answer 2

The total consumption across all five restaurants is calculated as follows: \[ \text{Rice Total} = 700 + 500 + 300 + 450 + 750 = 2700 \] \[ \text{Wheat Total} = 550 + 400 + 375 + 350 + 600 = 2275 \] \[ \text{Sugar Total} = 650 + 600 + 450 + 300 + 450 = 2450 \] Adding all these: \[ 2700 + 2275 + 2450 = 7425 \] The average per restaurant: \[ \frac{7425}{5} = 1485 \]
Thus, the correct answer is 1485.

Answer 3

From the given data: - Sugar consumed by Restaurant C = 450 - Rice consumed by Restaurant A = 700 - Wheat consumed by Restaurant A = 550 Total Rice and Wheat consumption by Restaurant A: \[ 700 + 550 = 1250 \] Now, calculating the percentage: \[ \left( \frac{450}{1250} \right) \times 100 = 36% \] Approximating to the nearest available option, the answer is 35%.