Respuesta :
So we must solve this by using a proportion. This means that we will have to solve an equation like this:
[tex]\frac{a}{b}=\frac{c}{d}[/tex]So, we know that the price per pund of cherries is constant. This is given by the total cost of a certain amount of pounds of cherries divided by the number of pounds. So the price per pound for her normal recipe is given by:
[tex]\frac{\text{\$}2.50}{5\text{lbs}}[/tex]If she needs to double the recipe then she must purchase 10 pounds. If we use x for how much she'll have to pay for these 10 pouns we get that the price per pound of cherries is:
[tex]\frac{x}{10\text{lbs}}[/tex]If we equalize both expressions for the price per pound of cherries we'll have the proportion equation like the one I stated before:
[tex]\frac{\text{\$}2.50}{5\text{lbs}}=\frac{x}{10\text{lbs}}[/tex]If we multiply both sides by 10lbs:
[tex]\begin{gathered} \frac{\text{\$}2.50}{5\text{lbs}}\cdot10\text{lbs}=\frac{x}{10\text{lbs}}\cdot10\text{lbs} \\ x=2\cdot\text{\$}2.50=\text{\$}5 \end{gathered}[/tex]Then the answer is x=$5.
