We appreciate your visit to Mo s farm stand sold a total of 165 pounds of apples and peaches She sold apples for 1 75 per pound and peaches for. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
[tex]a+p=165\\1.75a+2.5p=337.5\\\\2.5a+2.5p=412.5\\1.75a+2.5p=337.5\\0.75a=75\\a=100\\\\(100)+p=165\\p=65[/tex]
65 pounds
65 pounds
Thanks for taking the time to read Mo s farm stand sold a total of 165 pounds of apples and peaches She sold apples for 1 75 per pound and peaches for. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
Mo sold 65 pounds of peaches.
- Let a be the number of pounds of apples sold.
- Let p be the number of pounds of peaches sold.
1. The total weight of apples and peaches sold is 165 pounds:
[ a + p = 165 ]
2. The total revenue from selling apples and peaches is $337.50:
[ 1.75a + 2.50p = 337.50 ]
Solve the System of Equations
[ a + p = 165 ]
[ a = 165 - p ]
Next, substitute this expression for a into the second equation:
[ 1.75(165 - p) + 2.50p = 337.50 ]
Simplify and Solve for p
Expand and simplify the equation:
[tex]\[ 1.75 \cdot 165 - 1.75p + 2.50p = 337.50 \]\[ 288.75 + 0.75p = 337.50 \][/tex]
Isolate p:
[tex]\[ 0.75p = 337.50 - 288.75 \]\[ 0.75p = 48.75 \]\[ p = \frac{48.75}{0.75} \]\[ p = 65 \][/tex]
Verification
Now that we have ( p = 65 ) pounds of peaches, let's verify by substituting p back into the first equation to find a:
[tex]\[ a = 165 - p \]\[ a = 165 - 65 \]\[ a = 100 \][/tex]
Let's also check the revenue calculation:
[tex]\[ 1.75 \times 100 + 2.50 \times 65 = 175 + 162.50 = 337.50 \][/tex]
Mo sold 65 pounds of peaches in total.
