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1 . 28 is divided into two parts such that 6 times the first part added to 4 times the second part makes 152. The first part is

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Answer: Option C

Explanation:

Let's call the first part "x" and the second part "y."

We are given two pieces of information:

The sum of the two parts is 28: x + y = 28
6 times the first part added to 4 times the second part equals 152: 6x + 4y = 152

We can use these two equations to solve for the value of "x."

First, let's solve the first equation for "y":

x + y = 28 y = 28 - x

Now, substitute this expression for "y" into the second equation:

6x + 4(28 - x) = 152

Now, solve for "x":

6x + 112 - 4x = 152

Combine like terms:

2x + 112 = 152

Subtract 112 from both sides:

2x = 152 - 112 2x = 40

Now, divide by 2:

x = 40 / 2 x = 20

So, the first part is 20.

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