Subjects algebra

Equivalent Ratios 380Daf

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1. The problem asks to identify which ratios are equivalent to $5:3$. 2. Two ratios $a:b$ and $c:d$ are equivalent if their cross products are equal, i.e., $a \times d = b \times c$. 3. Check each given ratio: - For $22:27$, check if $22 \times 3 = 27 \times 5$: $$22 \times 3 = 66$$ $$27 \times 5 = 135$$ Since $66 \neq 135$, $22:27$ is not equivalent to $5:3$. - For $60:018$ (which is $60:18$), check if $60 \times 3 = 18 \times 5$: $$60 \times 3 = 180$$ $$18 \times 5 = 90$$ Since $180 \neq 90$, $60:18$ is not equivalent to $5:3$. - For $27:15$, check if $27 \times 3 = 15 \times 5$: $$27 \times 3 = 81$$ $$15 \times 5 = 75$$ Since $81 \neq 75$, $27:15$ is not equivalent to $5:3$. 4. None of the given ratios are equivalent to $5:3$. Final answer: No ratios from the given options are equivalent to $5:3$.