1963 TMTA High School Algebra I Contest Problem 20

Problem

If a piece of cloth $44$ inches long will shrink to $42$ inches when washed, to what length in inches will a $33$ inch piece of the same cloth shrink after washing?

$\text{(A)} \quad 28\frac{1}{2} \quad \text{(B)} \quad 31 \quad \text{(C)} \quad 32 \quad \text{(D)} \quad 31\frac{1}{2} \quad \text{(E)} 30$

Solution

We can write the following proportion: $\frac{44}{42}=\frac{33}{x}.$ Solving for $x$ yields $\frac{33\cdot 42}{44}=31.5,$ so the answer is $\boxed{\text{(D)}}.$

1963 TMTA High School Mathematics Contests (Problems)
Preceded by Problem 19	TMTA High School Mathematics Contest Past Problems/Solutions	Followed by Problem 21

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1963 TMTA High School Algebra I Contest Problem 20

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