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Josephine bought 8 packets of biscuits. Each packet had a mass of 500 g
She repacked them into 3 boxes. The first box was twice as heavy as the
second box. The third box was 60 g heavier than the second box.
What was the mass of the second box?​

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Answer: 985 g

Step-by-step explanation:

Total mass = 8 × 500g = 4000g

Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.

4000g = X + Y + Z

let's put X and Z in terms of Y, since we're trying to solve for the second pack.

X = 2Y, and Z = Y + 60

Therefore,

4000 = X + Y + Z

4000 = 2Y + Y +Y + 60

4000 = 4Y +60

4000 - 60 = 4Y

3940 = 4Y

3940 ÷ 4 = Y

985g = Y = mass of the second pack

shubhamchouhanvrVT

The mass of the second box will be equal to 985 g

What will be mass of second box?

We will calculate the total mass = 8 × 500g = 4000g

Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.

4000g = X + Y + Z

let's put X and Z in terms of Y, since we're trying to solve for the second pack.

X = 2Y, and Z = Y + 60

Therefore,

[tex]4000 = X + Y + Z\\\\4000 = 2Y + Y +Y + 60\\\\4000 = 4Y +60\\\\\\\\4000 - 60 = 4Y\\\\3940 = 4Y[/tex]

3940 ÷ 4 = Y

985g = Y = mass of the second pack

Hence the mass of the second box will be equal to 985 g

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