Maria ran 3 and 4/5 miles. She ran 1 and 2/3 miles further than Paul. Write the equation.
3&4/5=19/5 1&2/3=5/3
maria=paul+5/3 so 19/5=paul+5/3 Hence paul=...
Tarea
To write the equation, let's first assign a variable to the distance Paul ran. Let's say "x" represents the distance Paul ran in miles.
According to the information given, Maria ran 1 and 2/3 miles further than Paul. This means Maria's distance is x + 1 and 2/3 miles.
Finally, we know that Maria ran 3 and 4/5 miles. So, we can set up the equation:
x + 1 and 2/3 = 3 and 4/5
To solve this equation, we need to convert all the mixed numbers into improper fractions:
x + 5/3 = 19/5
Now, let's get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 15:
15(x + 5/3) = 15(19/5)
This simplifies to:
15x + 25 = 57
Now, we can isolate the variable by subtracting 25 from both sides of the equation:
15x + 25 - 25 = 57 - 25
This simplifies to:
15x = 32
Finally, we divide both sides of the equation by 15 to solve for x:
15x/15 = 32/15
This gives us:
x = 32/15
So, the equation representing the relationship between Maria's and Paul's distances is:
x + 5/3 = 19/5