A store sells \(6~\text{notebooks}~\text{for}~\$24\). Evaluate every statement below against the same cost rate, whether expressed per \(1~\text{notebook}\) or as an equivalent cost relationship.
A. \(\$4~\text{per}~\text{notebook}\)
B. \(4~\text{notebooks}~\text{per}~\text{dollar}\)
C. \(24~\div~6~=~4~\text{dollars}~\text{per}~\text{notebook}\)
D. \(6~\div~24~=~0.25~\text{dollar}~\text{per}~\text{notebook}\)
E. Each notebook costs \(\text{one}\text{-}\text{fourth}~\text{of}~\$24\)
F. The cost is \(\$8~\text{for}~2~\text{notebooks}\)
G. The cost is \(\$12~\text{for}~3~\text{notebooks}\)
H. \(1~\text{notebook}~\text{costs}~\$6\)
Include every correct statement.
What this problem is really about
Every statement must represent the same cost relationship as twenty-four dollars for six notebooks. We’ll establish dollars per notebook by dividing cost by quantity, then test each statement’s value and unit direction; reciprocal units do not answer the same question. For larger groups, multiplying the unit cost by the notebook count provides a quick equivalence check.