Question

solve the following using this ratio. $\frac{263\text{ grams dental stone powder}}{80\text{ milliliters of water}}$ if you use 123 milliliters of water, how many grams of dental stone powder are needed? grams of dental stone powder are needed. (round to the nearest whole number as needed.)

Explanation:

Step1: Set up proportion

Let $x$ be the grams of dental - stone powder needed. The proportion is $\frac{263}{80}=\frac{x}{123}$.

Step2: Cross - multiply

$80x = 263\times123$.
First, calculate $263\times123$: $263\times123=263\times(100 + 20+3)=263\times100+263\times20 + 263\times3=26300+5260+789 = 32349$. So, $80x = 32349$.

Step3: Solve for $x$

$x=\frac{32349}{80}=404.3625$.

Step4: Round to nearest whole number

Rounding $404.3625$ to the nearest whole number gives $404$.

Answer:

$404$