The problem states that $M$ is 150% of $N$. We need to find what percentage $N$ is of $M+N$.

AlgebraPercentageRatioEquation Solving
2025/4/23

1. Problem Description

The problem states that MM is 150% of NN. We need to find what percentage NN is of M+NM+N.

2. Solution Steps

First, we can express the given information as an equation:
M=150%×NM = 150\% \times N
M=150100×NM = \frac{150}{100} \times N
M=32NM = \frac{3}{2}N
Next, we need to find the value of M+NM+N:
M+N=32N+N=32N+22N=52NM+N = \frac{3}{2}N + N = \frac{3}{2}N + \frac{2}{2}N = \frac{5}{2}N
Now, we need to determine what percentage NN is of M+NM+N:
Percentage =NM+N×100%= \frac{N}{M+N} \times 100\%
Percentage =N52N×100%= \frac{N}{\frac{5}{2}N} \times 100\%
Percentage =152×100%= \frac{1}{\frac{5}{2}} \times 100\%
Percentage =25×100%= \frac{2}{5} \times 100\%
Percentage =0.4×100%= 0.4 \times 100\%
Percentage =40%= 40\%

3. Final Answer

40%

Related problems in "Algebra"

The problem is divided into two exercises. Exercise 1 deals with a linear function $f$ with a coeffi...

Linear FunctionsFunction EvaluationSolving Equations
2025/4/25

The image shows a set of math problems related to linear and affine functions. We need to solve a f...

Linear FunctionsAffine FunctionsFunction EvaluationSolving Equations
2025/4/25

The problem is about an affine function $g$ such that $g(0) = 3$ and $g(2) = 7$. We are asked to: 1....

Linear FunctionsFunction EvaluationLinear EquationsGraphing
2025/4/25

We are given a function $f$ and its graph $(D)$. We need to determine the nature of the function $f$...

Linear FunctionsAffine FunctionsGraphsSlopeFunction EvaluationSystems of Equations
2025/4/25

The problem is to solve the following equation for $x$: $\frac{2x+3}{2} = \frac{2x-3}{2x} + x$

Equation SolvingLinear EquationsFractionsVariable IsolationSolution Verification
2025/4/25

The problem consists of two exercises. Exercise 2 deals with a linear function $f$ such that $f(7) =...

Linear FunctionsAffine FunctionsFunctionsGraphing
2025/4/25

The problem states that $g$ is an affine function such that $g(0) = 3$ and $g(2) = 7$. We need to: (...

Linear FunctionsAffine FunctionsFunction EvaluationEquation SolvingCoordinate Geometry
2025/4/25

We are given a linear function $f$ such that $f(7) = 14$. We need to: 1. Determine the expression of...

Linear FunctionsFunction EvaluationGraphing
2025/4/25

The problem describes a linear function $f$ such that $f(7) = 14$. The tasks are: (a) Determine the ...

Linear FunctionsFunctionsGraphing
2025/4/25

We are given two exercises. Exercise 2: $f$ is a linear function such that $f(7) = 14$. We need to: ...

Linear FunctionsAffine FunctionsFunction EvaluationGraphing
2025/4/25