Marty and Juan took turns driving a cargo truck. The ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty. How many miles did Marty and Juan drive in all?

The total miles are 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7 and Juan drove 150 more miles than Marty.

Step-by-step explanation:

The given is,

Ratio of the miles Marty drove to the miles Juan drove is 6 to 7

Juan drove 150 more miles than Marty

Step:1

Calculate the difference in the ratio of the miles Marty drove to the miles Juan drove,

X = 7-6 = 1

Calculate the difference in the miles of Marty drove to the miles of Juan drove,

X = 150 (Juan drove 150 more miles than Marty)

Equate the Difference between ratio and miles,

From the above values,

X = 150 miles

Step:2

From the ratio of Marty : Juan = 6 : 7

Distance drove by Marty,

= 6X = (6 * 150) = 900

Distance drove by Marty = 900 miles

Distance drove by Juan,

= 7X = (7 * 150) = 1050

Distance drove by Juan = 1050 miles

Step:3

Check for solution,

Difference in the miles of Marty drove to the miles of Juan drove

150 = 1050 - 900

150 = 150

Result:

The total miles are is 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty