The problem asks us to identify which strip model represents 40%. Each strip model is divided into equal parts. We need to determine the fraction of shaded parts for each model and see which one corresponds to 40%.

ArithmeticPercentagesFractionsFraction to Percentage ConversionProblem Solving
2025/4/18

1. Problem Description

The problem asks us to identify which strip model represents 40%. Each strip model is divided into equal parts. We need to determine the fraction of shaded parts for each model and see which one corresponds to 40%.

2. Solution Steps

Let's analyze each model:
Model 1: There are 5 equal parts, and 2 are shaded. So the fraction is 25\frac{2}{5}. To convert this to a percentage, we can multiply by 100:
25×100=2005=40%\frac{2}{5} \times 100 = \frac{200}{5} = 40\%
Model 2: There are 10 equal parts, and 3 are shaded. So the fraction is 310\frac{3}{10}. To convert this to a percentage, we can multiply by 100:
310×100=30010=30%\frac{3}{10} \times 100 = \frac{300}{10} = 30\%
Model 3: There are 10 equal parts, and 4 are shaded. So the fraction is 410\frac{4}{10}. To convert this to a percentage, we can multiply by 100:
410×100=40010=40%\frac{4}{10} \times 100 = \frac{400}{10} = 40\%
The first and third models represent 40%. However, we are expected to choose only one option. Let us evaluate the description again. It says: "Which model shows 40%?". The models are listed from top to bottom. So we pick the first model.

3. Final Answer

The first model shows 40%.

Related problems in "Arithmetic"

We are given an arithmetic sequence $\{a_n\}$ with common difference $d = \frac{1}{2}$ and $a_{17} =...

Arithmetic SequencesSum of Arithmetic SeriesSequences and Series
2025/6/14

The problem asks what fraction of a turn does the minute hand of a clock rotate by between 03:20 and...

FractionsTimeClock AnglesSimplification
2025/6/14

Find the geometric mean (or mean proportional) of $\sqrt{2}$ and $\sqrt{8}$.

Geometric MeanRadicalsSquare Roots
2025/6/14

The problem asks us to identify all the fractions from the list $\frac{1}{20}$, $\frac{1}{3}$, $\fra...

FractionsInequalitiesComparison of Fractions
2025/6/14

The problem is to evaluate the expression $6 \div 2(1+2)$.

Order of OperationsPEMDASBODMASArithmetic Expressions
2025/6/12

The problem asks to compute two values: First, decrease 90 by 20%. Second, find 60% of 250.

PercentageArithmetic OperationsCalculation
2025/6/11

The problem is to increase 80 by 15%. This means we need to find 15% of 80 and then add that amount ...

PercentageArithmetic OperationsCalculation
2025/6/11

The problem states that old price is 4 and new price is 3. If you buy 5 at the old price, how many c...

Word ProblemRatioProportionPrice Calculation
2025/6/11

The problem asks us to express the number $0.016$ in three different forms: as a common fraction in ...

FractionsDecimal RepresentationSignificant FiguresScientific NotationRoundingNumber Conversion
2025/6/11

We need to evaluate the expression $\frac{3}{4} + \frac{1}{4} \times \frac{2}{3}$.

FractionsOrder of OperationsAdditionMultiplicationSimplificationLeast Common Multiple
2025/6/11