We are given a ratio table with some values missing. We need to complete the table by finding the missing value, given the ratios between the columns are constant. The table has two columns, where the ratio of values in the first column to the values in the second column is constant. We are given the following pairs: $(4, 5), (8, 10), (?, 30), (?, 35), (76, 95)$. We need to find the two missing values.

ArithmeticRatioProportionMissing Value
2025/3/8

1. Problem Description

We are given a ratio table with some values missing. We need to complete the table by finding the missing value, given the ratios between the columns are constant. The table has two columns, where the ratio of values in the first column to the values in the second column is constant. We are given the following pairs: (4,5),(8,10),(?,30),(?,35),(76,95)(4, 5), (8, 10), (?, 30), (?, 35), (76, 95). We need to find the two missing values.

2. Solution Steps

First, let's find the ratio between the first and second columns using the given pairs. From (4,5)(4, 5), the ratio is 45\frac{4}{5}. From (8,10)(8, 10), the ratio is 810=45\frac{8}{10} = \frac{4}{5}. So, the ratio is 45\frac{4}{5}.
Let the missing values be xx and yy.
For the first missing value, we have x30=45\frac{x}{30} = \frac{4}{5}. Multiplying both sides by 30, we get x=45×30=4×6=24x = \frac{4}{5} \times 30 = 4 \times 6 = 24.
For the second missing value, we have y35=45\frac{y}{35} = \frac{4}{5}. Multiplying both sides by 35, we get y=45×35=4×7=28y = \frac{4}{5} \times 35 = 4 \times 7 = 28.
Therefore, the missing values are 24 and
2
8.

3. Final Answer

24

Related problems in "Arithmetic"

The problem asks us to evaluate the expression $5^3 \times \frac{1}{5^2}$.

ExponentsOrder of Operations
2025/4/3

The problem asks us to find the geometric mean of 81 and 121.

Geometric MeanSquare RootsArithmetic Operations
2025/4/3

We are given that $a = 3$ and $c = 5$. We are asked to evaluate the following expressions: 9. $\frac...

Arithmetic OperationsOrder of OperationsSubstitution
2025/4/3

We are asked to evaluate the expression $\frac{12}{a} + c$, given that $a = 3$ and $c = 5$.

Arithmetic OperationsSubstitutionExpression Evaluation
2025/4/3

The problem asks us to evaluate the following expressions given $a=3$, $b=5$, $c=6$, and $r=30$.

Basic ArithmeticEvaluationSubstitution
2025/4/3

The problem asks us to evaluate several expressions given the values $p=2$ and $r=30$. The expressio...

SubstitutionNumerical EvaluationBasic Arithmetic
2025/4/3

The problem asks us to find the least common denominator (LCD) of the two fractions $\frac{7}{45xy^3...

FractionsLeast Common DenominatorLCMAlgebraic Expressions
2025/4/3

Oscar has 310 ml of oil. He needs 21% of it for a recipe. We need to find how much oil he needs in m...

PercentageMultiplicationUnits Conversion
2025/4/3

Poppy has $26 and Leo has $36. Poppy spends $\frac{12}{13}$ of her money, and Leo spends $\frac{7}{9...

FractionsPercentagesWord ProblemArithmetic Operations
2025/4/3

The problem asks us to find the missing value in the expression: $25\%$ of $\underline{\hspace{1cm}}...

PercentagesProportionsSolving Equations
2025/4/3