Question

5. A box contains 8 badges.
The mass of the box and the badges is 160 grams.
3 badges are removed from the box.
The mass of the box and the badges is now 121 grams.
What is the mass of the box?

Answer 1

Answer:160g-121g= 39g

39g is mass of 3 badges. So mass of 1 badge is 13g.

Hence box mass is 160-(8boxes X 13g) = 56g.

Step-by-step explanation:

Answer 2

The mass of the box is 56 g.

• Given,

Number of badges in a box = 8

Mass of the box + Mass of 8 badges = 160 g

• Number of badges removed from the box = 3

=> Number of badges remaining = 8 - 3 = 5

Given, mass of box + mass of 5 badges = 121 g

• Now, mass of 3 bagdes = Mass of box with 8 badges - Mass of box with 5 badges

=> Mass of 3 badges = 160 g - 121 g

Or, mass of 3 badges = 39 g

• Therefore, mass of 1 badge = 39 g / 3 = 13 g

=> Mass of 8 badges = 13 g × 8 = 104 g

• Now, mass of the box = Mass of box with 8 badges - Mass of 8 badges

=> Mass of the box = 160 g - 104 g = 56 g