Tran is packing a box of books and toys to be shipped. each book weighs 3 pounds and each toy weighs 0.5 pound. the total weight of the box must be less than 10 pounds. what are the constraints on the variables?

number of books should be less than 3 and number of toys should be less than 14.

Step-by-step explanation:

Tran is packing a box of books and toys.

A book weighs 3 pounds and each toy weighs  (0.5) pound

Let the number of books is x and number of toys is y.

Then as per statement of the question inequality formed will be

Total weight of books and toys < 10

( 3x + 0.5y < 10 )

for x  =     1      2       3    which means    1 ≤ x < 3

     y  =    14     8      2                              2 ≤ y < 14

Therefore, number of books should be less than 3 and number of toys should be less than 14.