Algebra 1 - 9th grade math question

Question

A cardboard box, which weighs 0.6 pounds empty, is filled with 15 bags of beans and a 4-pound bag of rice. the total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6+15b+4=25.6 . In this situation, what does the solution to the equation represent? ​

Answer 1

Hello, Hailey.

Okay, so the equation is:

0.6 + 15b + 4 = 25.6

So, the 0.6 is the weight (in pounds) of the empty box.

15b represents 15 times the weight of each bag of beans (represented by b).

4 represents the 4 pound bag of rice.

25.6 represents to total weight of all of the items including the box.

So, to find the value of b (the weight of one bag of beans), you must solve for b.

0.6 + 15b + 4 + 25.6

15b = 25.6 - 0.6 - 4 = 21

15b = 21

b = 21/15 = 7/5 pounds or 1 2/5 pounds or 1.4 pounds.

Therefore, the weight of one bag of beans is 1.4 pounds

Answer 2

b represents the weight of one bag of beans.