Final answer:
The total number of cars fixed by the garage in a week is 24, by multiplying the number of diesel cars by the ratio of gasoline cars to diesel cars and then summing the result with the number of diesel cars.
Step-by-step explanation:
The subject of this question is Mathematics. The question involves determining the total number of cars fixed by a garage in one week, given the ratio of diesel to gasoline cars and the number of diesel cars repaired. We have the ratio of diesel cars to gasoline cars as 1:5 and that 4 diesel cars were repaired in 7 days.
To find the total number of gasoline cars repaired, we calculate the following:
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- Since 1 diesel car corresponds to 5 gasoline cars, for 4 diesel cars, we have 4 × 5 = 20 gasoline cars repaired.
Next, to get the total number of cars repaired, we add the number of diesel cars to the number of gasoline cars:
Total number of cars = Number of diesel cars + Number of gasoline cars
= 4 + 20
= 24 cars.
Therefore, the garage fixed a total of 24 cars in 7 days.