Question

What’s the masses of water and sugar in a 380.0 g of sugar solution that is labeled 10.3% sugar by mass. How many masses would that equate to if 1 packet is equal to 3.5 g

Answer 1

The sugar solution is labeled as 10.3% sugar by mass. This means that in 100 g of the solution, there are 10.3 g of sugar.

Let's assume the total mass of the sugar solution is 380.0 g. To find the mass of sugar in the solution, we can set up a proportion:

10.3 g sugar / 100 g solution = x / 380.0 g solution

Solving for x, we get:

x = (10.3 g sugar / 100 g solution) x 380.0 g solution = 39.14 g sugar

Therefore, the mass of sugar in the solution is 39.14 g.

To find the mass of water in the solution, we can subtract the mass of sugar from the total mass of the solution:

mass of water = total mass of solution - mass of sugar

mass of water = 380.0 g - 39.14 g

mass of water = 340.86 g

Therefore, the mass of water in the solution is 340.86 g.

If 1 packet is equal to 3.5 g, we can find how many packets are required by dividing the total mass of the solution by 3.5 g:

number of packets = total mass of solution / 3.5 g

number of packets = 380.0 g / 3.5 g

number of packets ≈ 108.57 packets

Therefore, the masses would equate to 109 packets.

Answer 2

We can start by using the fact that the sugar solution is labeled as 10.3% sugar by mass, which means that in 100 g of the solution, there are 10.3 g of sugar.

We can use this information to find the masses of water and sugar in a 380.0 g of sugar solution as follows:

Mass of sugar in 380.0 g of solution = (10.3 g sugar / 100 g solution) x 380.0 g solution = 39.14 g sugar

Mass of water in 380.0 g of solution = 380.0 g solution - 39.14 g sugar = 340.86 g water

Therefore, the mass of sugar in a 380.0 g sugar solution labeled as 10.3% sugar by mass is 39.14 g, and the mass of water is 340.86 g.

If 1 packet is equal to 3.5 g, then the number of masses that 380.0 g of sugar solution would equate to is:

380.0 g / 3.5 g per packet = 108.57 packets

So, the 380.0 g of sugar solution would equate to approximately 109 packets (rounded up to the nearest whole number) if each packet is equal to 3.5 g.