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Question
a family recipe calls for sauce and oregano. the table below shows the parts of sauce to oregano used to make the recipe
| servings | sauce (cups) | oregano (tsp) |
|---|---|---|
| 7 |
at this rate, how much sauce and oregano will be needed to make 7 servings?
the recipe will need 17 cups of sauce and $3\frac{1}{2}$ teaspoons of oregano for 7 servings.
the recipe will need 21 cups of sauce and 5 teaspoons of oregano for 7 servings.
the recipe will need 21 cups of sauce and $3\frac{1}{2}$ teaspoons of oregano for 7 servings.
the recipe will need 17 cups of sauce and 5 teaspoons of oregano for 7 servings.
Step1: Find sauce per serving
$\text{Sauce per serving} = \frac{15}{5} = 3$ cups
Step2: Calculate sauce for 7 servings
$\text{Total sauce} = 3 \times 7 = 21$ cups
Step3: Find oregano per serving
First, convert $2\frac{1}{2}$ to $\frac{5}{2}$.
$\text{Oregano per serving} = \frac{\frac{5}{2}}{5} = \frac{1}{2}$ tsp
Step4: Calculate oregano for 7 servings
$\text{Total oregano} = \frac{1}{2} \times 7 = \frac{7}{2} = 3\frac{1}{2}$ tsp
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B. The recipe will need 21 cups of sauce and $3\frac{1}{2}$ teaspoons of oregano for 7 servings.