Question

My mother has made two types of sherbet. The first type has 5 liters of sugar in 100 liters of sherbet and the second type has 18 sizes of sugar.​

Answer 1

Answer:

The amount of each type of sharbat is given by:

66 \frac{2}{3}

3

2

kilograms and 83 \frac{1}{3}

3

1

kilograms

Step-by-step explanation:

Let's calculate the amount of sugar per liter for each of the quantities.

We have:

Type 1:

5/100 = 0.05 kg of sugar per liter

Type 2:

8/100 = 0.08 kg sugar per liter.

Let x be the amount of type 1 and y type 2 mixed to prepare the 150 liter Sharbat.

The amount of sugar in each type is given by:

Type 1 = 0.05x

type 2 = 0.08y

From the information above we form two simulatneous equations as follows:

x + y = 150.....................i

0.05x + 0.08y = 9.5................ii

Multiply ii through by 100 to eliminate the decimals.

x + y = 150......................iii

5x + 8y = 950..................iv

Multiply iii by 5 to get:

5x + 5y = 750

5x + 8y = 950

3y = 200

y = 200/3 = 66 \frac{2}{3}

3

2

kgs

Substituting in i to get x

x + 200/3 = 150

x = 150 - 200/3 = 83 \frac{1}{3}

3

1

kgs

Mark me as brainliest