Math Problem Statement

The ratio of seventh grade students to eighth grade students in the school band is 3 to 4. There are 36 seventh grade students in the school band. What is the total number of students in the school band? A.84 B.48 C.12 D.96

Solution

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Basic Arithmetic

Formulas

\( \frac{\text{seventh graders}}{\text{eighth graders}} = \frac{3}{4} \)
Cross-multiplication to solve proportions

Theorems

Proportionality

Suitable Grade Level

Grade 6-7