Question

Cross Country Movers charge $2500 plus $2 per pound to move a house full of furniture from Maryland to California. Globalocity charges $3000 plus $1 per pound for the same move. For how many pounds do the movers charge the same amount and what is that charge?

a) 500 pounds, $3500
b) 1000 pounds, $4000
c) 1500 pounds, $4500
d) 2000 pounds, $5000

Answer 1

To find the number of pounds for which both companies charge the same amount, set up an equation and solve for x. The correct answer is option a) 500 pounds, $3500.

Step-by-step explanation:

To find the number of pounds for which both companies charge the same amount, we need to set up an equation. Let x represent the number of pounds.

For Cross Country Movers, the charge can be expressed as follows: $2500 + $2x.

For Globalocity, the charge can be expressed as follows: $3000 + $1x.

Setting the two equations equal to each other, we get: $2500 + $2x = $3000 + $1x. Solving for x, we find that x = 500.

Therefore, the movers charge the same amount for 500 pounds, which is $3500. So the correct answer is option a) 500 pounds, $3500.