Question

A car dealer has 20 Toyota Camrys and 25 Honda Accords left on the parking lot. The dealer wants to arrange the cars in rows so that each row has the same number of vehicles and the same number of vehicles of each type. What is the greatest number of rows that can be formed?

Answer 1

Answer: 45 is the maximum number of rows that can be formed.

Given: It is given that a car dealer has 20 Toyota Camrys and 25 Honda Accords left in the parking lot. The dealer wants to arrange the cars in such a way so that each row has same number of vehicles of same type.

To Find: We have to tell the maximum number of rows that can be formed.

Step-by-Step Explanation: The number of cars that can be arrange should be a factor of both 20 and 25 because we need the same number of cars in each row.

Step 1: Now, 1 and 5 are the only common factors of 20 and 25. When we arrange 1 car in each row, then the total number of rows of Camrys will be 20 and total number of rows of Accords will be 25. So, the total rows formed will be $20+25=45$

Step 2: When we arrange 5 cars in a row then the total rows of Camrys will be $\frac{20}{5}=4$ and total rows of Accords will be $\frac{25}{5}=5$, so the total rows will be $5+4=9$

So, the greatest number of rows will be 45 when we arrange 1 car in each row.  

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