Math for 10 grade algebra

Question

Total weight of 1435 pounds shipped in 80 pound and 45 pound boxes. How to determine the number of 80 pound and 45 pound boxes shipped

Answer 1

If there is not a second restraint, the best method to use is guess and check. It will take some time, but not impossible. Since the total weight ends in 5, the number of 45-lb boxes must be odd. Multiple 45 by the odd number and see if the remainder is divisible by 80. There may be more than one possible solution as the previous tutor has shown.

Answer 2

80x +45y = 1435

you need another restraint to avoid an infinite number of solutions

the only other restraint is x and y must be integers

which narrows down the possible solutions,

to two solutions

either

five 80 lb boxes and twenty-three 45 lb boxes

or

fourteen 80 lb boxes and seven 45 lb boxes

5x80+23x45 = 400 + 1035 = 1435

14x80+7x45 = 1120+315= 1435

or you left out another restraint in the problem

as it's posted, it's hard to believe this is a 10th grade algebra problem. It's a little too tricky, as written