Cross mutiply. 42*10= 420. 14*g= 14g
14g= 420
divide by 14 for both sides
14g/14= 420/14
g= 30
Check answer by using substitution method
42/30. Divide by 3 . 42/3= 14 , 30/3= 10
14/10 and 14/10 equal to each other by dividing 2.
14/2= 7 , 10/2= 5
7/5= 7/5
Answer: g= 30
This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25