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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
- A. 16
- B. 16
- C. 16
- D. 16
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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