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.
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