Question

A cardboard box, which weighs 0.6 pound when 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. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21

Answer 1

Equation E, Equation B, Equation C are equivalent

Explanation:

Given Equation:

0.6 + 15b + 4 = 25.6

Check all that applies

Equation A: 15b + 4 = 25.6

0.6 + 15b + 4 = 25.6

15b + 4 = 25.6 - 0.6

15b + 4 = 25

NOT CORRECT

Equation B: 15b + 4 = 25

0.6 + 15b + 4 = 25.6

15b + 4 = 25.6 - 0.6

15b + 4 = 25

CORRECT

Equation C: 3(0.6 + 15b + 4) = 76.8

0.6 + 15b + 4 = 25.6

Multiplying both sides by 3

(0.6 + 15b + 4) ×3 = 25.6 × 3

(0.6 + 15b + 4) ×3 = 76.8

CORRECT

Equation D: 15b = 25.6

0.6 + 15b + 4 = 25.6

NOT CORRECT

Equation E: 15b = 21

0.6 + 15b + 4 = 25.6

15b = 25.6 - 0.6 - 4

15b = 21

CORRECT

Equation E, Equation B, Equation C are equivalent