Subjects algebra

Ratio Table Faad40

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Complete the missing values in the ratio table where the pairs of numbers are proportional. 2. **Understand the ratio:** Each pair of numbers forms a ratio. For example, the first row ratio is $\frac{7}{18}$. 3. **Check the ratio consistency:** Verify that the given pairs maintain the same ratio. Calculate the ratio for the first row: $$\frac{7}{18} \approx 0.3889$$ Check the second row: $$\frac{14}{36} = \frac{7 \times 2}{18 \times 2} = \frac{7}{18}$$ Check the third row: $$\frac{21}{54} = \frac{7 \times 3}{18 \times 3} = \frac{7}{18}$$ All rows have the same ratio $\frac{7}{18}$. 4. **Find the missing value in the fourth row:** Given the first number is 28, find the second number $x$ such that: $$\frac{28}{x} = \frac{7}{18}$$ Cross-multiply: $$28 \times 18 = 7 \times x$$ Simplify: $$504 = 7x$$ Divide both sides by 7: $$\cancel{7}72 = \cancel{7}x$$ $$x = 72$$ 5. **Find the missing value in the fifth row:** Given the second number is 90, find the first number $y$ such that: $$\frac{y}{90} = \frac{7}{18}$$ Cross-multiply: $$18y = 7 \times 90$$ Simplify: $$18y = 630$$ Divide both sides by 18: $$\cancel{18}y = \frac{630}{\cancel{18}}$$ $$y = 35$$ 6. **Final completed table:** | 7 | 18 | | 14 | 36 | | 21 | 54 | | 28 | 72 | | 35 | 90 |