Question

The total mass of a sack of rice and 8 identical bags of flour is 51.4 kg. If the mass of each bag of flour is 4.92 kg, what is the mass of the sack of rice?

Answer 1

The mass of 1 bag of rice(R) is 11.6 kg to 3 sig figs

Step-by-step explanation:

Let R and F be the masses of bags of Rice and Flour, respectively.

We are told that 1R + 8F = 51 kg

We also find that F = 4.92 kg

Use this definition of F in the first equation:

1R + 8F = 51 kg

1R + 8(4.92 kg) = 51 kg

1R + 39.36 kg = 51 kg

1R = 11.64 kg

The mass of 1 bag of rice(R) is 11.6 kg to 3 sig figs

Answer 2

To find the mass of the sack of rice, first calculate the total mass of the flour by multiplying the mass of one bag by the number of bags, then subtract this from the total mass. The mass of the sack of rice is found to be 12.04 kg.

Step-by-step explanation:

The student is asking how to calculate the mass of a sack of rice when the total mass of the rice and 8 bags of flour is known, and the mass of each bag of flour is also known. To solve this, we use subtraction to isolate the mass of the sack of rice.

Step-by-Step Calculation

1. Determine the total mass of the bags of flour by multiplying the mass of one bag of flour (4.92 kg) by the number of bags (8 bags).

2. Subtract the mass of the flour from the given total mass to find the mass of the sack of rice.

Performing the calculation:

1. 4.92 kg/bag × 8 bags = 39.36 kg (total mass of flour)

2. 51.4 kg (total mass) - 39.36 kg (mass of flour) = 12.04 kg

Therefore, the mass of the sack of rice is 12.04 kg.