Question

Question 1(Multiple Choice Worth 5 points)

(07.10A)

If 4 over 5 ton of concrete covers 5 over 6 of a bridge, how many tons of concrete are required to cover the entire bridge?

1 over 5 ton
9 over 30 ton
2 over 3 ton
24 over 25 ton

Answer 1

well, to cover the whole bridge, is 6/6, or 1 whole

so hmmm
`\bf \begin{array}{ccllll} concrete&bridge\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ (4)/(5)&(5)/(6)\\\\ x&(6)/(6) \end{array}\implies \cfrac{(4)/(5)}{x}=\cfrac{(5)/(6)}{(6)/(6)}\implies \cfrac{(4)/(5)}{(x)/(1)}=\cfrac{(5)/(6)}{(6)/(6)}`


`\bf \cfrac{4}{5}\cdot \cfrac{1}{x}=\cfrac{5}{6}\cdot \cfrac{6}{6}\implies \cfrac{4}{5x}=\cfrac{5}{6}\implies 4\cdot 6=5\cdot 5x\implies 24=25x \\\\\\ \boxed{\cfrac{24}{25}}=x`