Tallahassee was established as the capitol of Florida because it was between Pensacola and St. Augustine. The distance from Pensacola to Tallahassee can be represented as (3x + 40) miles. The distance from Tallahassee to St. Augustine can be represented as (4x + 5) miles. The distance from Pensacola to St. Augustine is 395 miles. Is Tallahassee the midpoint of Pensacola and St. Augustine?

Math help needed here!

=)

distancePensacolatoAugustine=distPT + distanceTA

395=3x+40 + 4x+5

solve for x. I get about 50. Then, see if the distance from Pensacola to Tallassee (3x_+40) is half of 395

distancePensacolatoAugustine=distPT + distanceTA

395=3x+40 + 4x+5

solve for x. I get about 50. Then, see if the distance from Pensacola to Tallassee (3x_+40) is half of 395

1 answer

Yes!
we can set up the equation 3x+40+4x+5=395 and solve to get
7x+45=395
7x=350 so x=50
When we plug it in to check, we get
3(50)+40+4(50)+5=395
so the answer must be correct!