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What is the ratio of the total Demand of...

What is the ratio of the total Demand of motorcycles of companies A and D taken together production of motorcycles of company D?

A

`13:9`

B

`8:5`

C

`5:3`

D

`9:7`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to find the ratio of the total demand of motorcycles from companies A and D combined to the production of motorcycles from company D. Here’s a step-by-step breakdown of the solution: ### Step 1: Identify the Demand of Company A From the bar graph, we find the demand for company A. Let's assume the demand for company A is 99 units. ### Step 2: Identify the Demand of Company D Next, we find the demand for company D. Let's assume the demand for company D is 125 units. ### Step 3: Calculate the Total Demand of Companies A and D Now, we add the demand of company A and company D together: \[ \text{Total Demand} = \text{Demand of A} + \text{Demand of D} = 99 + 125 = 224 \text{ units} \] ### Step 4: Identify the Production of Company D Next, we need to find the production of company D. Let's assume the production of company D is 140 units. ### Step 5: Set Up the Ratio Now, we set up the ratio of the total demand of companies A and D to the production of company D: \[ \text{Ratio} = \frac{\text{Total Demand of A and D}}{\text{Production of D}} = \frac{224}{140} \] ### Step 6: Simplify the Ratio To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 224 and 140 is 28. \[ \frac{224 \div 28}{140 \div 28} = \frac{8}{5} \] ### Step 7: Final Answer Thus, the ratio of the total demand of motorcycles of companies A and D taken together to the production of motorcycles of company D is: \[ \text{Final Ratio} = 8:5 \]
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