Question

20. The total mass of three boxes, A, B, and C, is 1.95 kg. The mass of Box A is 700 g. The mass of Box B is 4 times the mass of Box C. What is the mass of Box B in kilograms?

Answer 1

Answer: -558.44kg

Box A: 700g --> kg = 0.7kg

Box B: 4 x C



700 + 4C + C = 1.95kg
700 + 5C = 1.95kg
5C = 1.95 - 700
C = -698.05 divide by 5
C = -139.61

139.61 x 4 = -558.44kg

Answer 2

Mass of B in Kg = -558.44kg

Explanation:

LET'S DO THIS!

Total mass of A, B and C = 1.95kg

Mass of A = 700 kg

Mass of B = 4x the mass of c (4 x C) which is 4c

Mass of C = ? ( let's call it C )

Adding all together

700 + 4c + C = 1.95

Add like terms

700 + 5C = 1.95

5C = 1.95 - 700

5C = -698.05

C = -698.05 ÷ 5

C = -139.61

To find B now

Remember they said B is 4 times the mass of C and C = -139.61

therefore B = 4 × -139.61

B = -558.44 kg

To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kg

Using your calculator:

= 700 + ( -558.44 ) + ( -139.61 )

= 700 - 558.44 -139.61

= 1.95 kg

Which makes us CORRECT ✅.

Hope this helps.

Good luck ✅.