Question

2 onions, chopped 3 carrots, diced 2 celery stalks, diced 1 cups diced tomatoes Vegetable Soup Recipe pound potatoes, diced cup each green beans, corn, peas 2 32-oz containers beef stock 1 teaspoon salt N- 6. Hailey plans to triple the recipe. How many... a. Pounds of potatoes will she need? b. Cups of green beans will she need? c. Cups of tomatoes will she need?

Answer 1

We can solve this problem by applying the rule of three.

6a) We have

`\begin{gathered} 1\text{ recipe ---- }(3)/(4)\text{pound potatoes} \\ 3\text{ recipes ----- x} \end{gathered}`

where x correspond to the pound potatoes for 3 recipes.

Then, x is given by

`x=(3*(3)/(4))/(1)`

which gives

`\begin{gathered} x=3*(3)/(4) \\ x=(9)/(4) \end{gathered}`

Therefore, the answer for 6a is

`(9)/(4)\text{ pound of potatoes}`

6b)

Similarly,

`\begin{gathered} 1\text{ recipe ----- }(1)/(2)cup\text{ of beans} \\ 3\text{ recipes ---- y} \end{gathered}`

where y corresponds to the cups of beams for 3 recipes. Then, y is given by

`y=(3*(1)/(2))/(1)`

which gives

`\begin{gathered} y=3*(1)/(2) \\ y=(3)/(2) \end{gathered}`

Therefore, the answer for 6b is

`(3)/(2)\text{ cups of gre}en\text{ beans}`

6c)

In this case, we have

`\begin{gathered} 1\text{ recipe ---- }1(3)/(4)\text{ tomatoes} \\ 3\text{ recipes ----- z} \end{gathered}`

where z corresponds to the number of cups of tomatoes for 3 recipes. Then, z is given by

`z=(3*1(3)/(4))/(1)`

which gives

`z=3*1(3)/(4)`

In order to obtain the product, we need to convert the mixed fraction into a simple fraction form, that is

`1(3)/(4)=(4*1+3)/(4)=(7)/(4)`

then, we have

`z=3*(7)/(4)`

And the answer for 6c is

`z=(21)/(4)\text{ cups of tomatoes}`