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Aleksandr [31]
3 years ago
11

Amelia runs a farm stand that sells strawberries and peaches. Each pound of strawberries sells for $1 and each pound of peaches

sells for $4. Amelia sold 3 times as many pounds of peaches as pounds of strawberries and she made $182 altogether. Determine the number of pounds of strawberries sold and the number of pounds of peaches sold.
Mathematics
2 answers:
ivolga24 [154]3 years ago
6 0

Answer:

<u><em>14 pounds of strawberries and 42 pounds of peaches are sold</em></u>

Step-by-step explanation:

Suppose the pounds of strawberries sold are x and pounds of peaches sold are y. then

$182= x(1) + y(4)--------A

or 182= x(1) +3x(4)------- B

182=x+12x

182/13=x

x=14

Inessa [10]3 years ago
6 0

Answer: the number of pounds of strawberries sold is 14 pounds and the number of pounds of peaches sold is 42 pounds

Step-by-step explanation:

Let x represent the number of pounds of strawberries sold.

Let y represent the number of pounds of peaches sold.

Amelia sold 3 times as many pounds of peaches as pounds of strawberries. This means that

y = 3x

Each pound of strawberries sells for $1 and each pound of peaches sells for $4. She made $182 altogether. This means that

x + 4y = 182 - - - - - - - - - - 1

Substituting y = 3x into equation 1, it becomes

x + 4×3x = 182

x + 12x = 182

13x = 182

x = 182/13 = 14

y = 3x = 3×14 = 42

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x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
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Tema [17]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option A

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow  \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}

⸻⸻⸻⸻

\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}

⸻⸻⸻⸻

\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}

⸻⸻⸻⸻

\text{Option \textbf{A} does not simplify into an integer.}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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