A scientist prepares a mixture with two chericals: chemical 1 and chemical 2 in proportion of 2:3 and makes a total concoction of 150ml. How many ml of chemical 1 has been used?

Options

A. 20
B. 60
C. 90
D. 80

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the ratio
The ratio of chemical 1 to chemical 2 is given as 2:3. This means that for every 2 parts of chemical 1, there are 3 parts of chemical 2.

### Step 2: Calculate the total parts
To find the total number of parts in the mixture, we add the parts of chemical 1 and chemical 2 together:
\[ \text{Total parts} = 2 + 3 = 5 \]

### Step 3: Determine the volume of each part
The total volume of the mixture is 150 ml. To find the volume of one part, we divide the total volume by the total number of parts:
\[ \text{Volume of one part} = \frac{150 \text{ ml}}{5} = 30 \text{ ml} \]

### Step 4: Calculate the volume of chemical 1
Since chemical 1 corresponds to 2 parts in the ratio, we can find the volume of chemical 1 by multiplying the volume of one part by the number of parts for chemical 1:
\[ \text{Volume of chemical 1} = 2 \times 30 \text{ ml} = 60 \text{ ml} \]

### Final Answer
Thus, the volume of chemical 1 used in the mixture is **60 ml**.

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