SOLUTION: A truck is loaded with boxes of two different weights. Some of the boxes weigh 6.23 kg each and the rest of the boxes weigh 10.56 kg each. There are 63 more of the heavier boxes th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A truck is loaded with boxes of two different weights. Some of the boxes weigh 6.23 kg each and the rest of the boxes weigh 10.56 kg each. There are 63 more of the heavier boxes th      Log On


   

Question 805526: A truck is loaded with boxes of two different weights. Some of the boxes weigh 6.23 kg each and the rest of the boxes weigh 10.56 kg each. There are 63 more of the heavier boxes than of the lighter boxes, and the total weight of all the boxes is 2008.48 kg. How many boxes are there altogether?
Select the correct answer.
a. 223 boxes
b. 218 boxes
c. 305 boxes
d. 224 boxes
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6.23------------x boxes
10.56-----------(x+63) boxes
total weight = 2008.48 kg
6.23x+10.56(x+63)=2008.48
6.23x+10.56x+665.28=2008.48
16.79x = 1343.2
x= 80 boxes --- smaller weight
x+63= 80+63=143 ------heavier boxes
Total 223 boxes