We appreciate your visit to Andre is buying snacks for his team He buys apricots for tex 6 tex per pound and dried bananas for tex 4 tex per pound. 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 :
Sure, let's go through the solution step-by-step.
Andre buys a total of 5 pounds of snacks, which include apricots and dried bananas. He spends a total of [tex]$24.50. We need to find out how many pounds of apricots and dried bananas he bought.
Let's define:
- \( a \) as the pounds of apricots.
- \( b \) as the pounds of dried bananas.
We have two pieces of information that we can use to form a system of equations:
1. The total weight of snacks:
\( a + b = 5 \)
This equation represents the total number of pounds of apricots and dried bananas he bought, which is 5 pounds.
2. The total cost of the snacks:
\( 6a + 4b = 24.50 \)
This equation comes from the fact that apricots cost $[/tex]6 per pound and dried bananas cost [tex]$4 per pound. So, in total, Andre spent $[/tex]24.50.
Now, let's solve the system of equations:
1. From the first equation, express [tex]\( b \)[/tex] in terms of [tex]\( a \)[/tex]:
[tex]\[
b = 5 - a
\][/tex]
2. Substitute [tex]\( b = 5 - a \)[/tex] into the second equation:
[tex]\[
6a + 4(5 - a) = 24.50
\][/tex]
3. Distribute the 4:
[tex]\[
6a + 20 - 4a = 24.50
\][/tex]
4. Combine like terms:
[tex]\[
2a + 20 = 24.50
\][/tex]
5. Subtract 20 from both sides:
[tex]\[
2a = 4.50
\][/tex]
6. Divide both sides by 2 to solve for [tex]\( a \)[/tex]:
[tex]\[
a = 2.25
\][/tex]
Having found [tex]\( a = 2.25 \)[/tex], substitute back to find [tex]\( b \)[/tex]:
7. Substitute [tex]\( a = 2.25 \)[/tex] into [tex]\( b = 5 - a \)[/tex]:
[tex]\[
b = 5 - 2.25 = 2.75
\][/tex]
So, Andre bought 2.25 pounds of apricots and 2.75 pounds of dried bananas.
Andre buys a total of 5 pounds of snacks, which include apricots and dried bananas. He spends a total of [tex]$24.50. We need to find out how many pounds of apricots and dried bananas he bought.
Let's define:
- \( a \) as the pounds of apricots.
- \( b \) as the pounds of dried bananas.
We have two pieces of information that we can use to form a system of equations:
1. The total weight of snacks:
\( a + b = 5 \)
This equation represents the total number of pounds of apricots and dried bananas he bought, which is 5 pounds.
2. The total cost of the snacks:
\( 6a + 4b = 24.50 \)
This equation comes from the fact that apricots cost $[/tex]6 per pound and dried bananas cost [tex]$4 per pound. So, in total, Andre spent $[/tex]24.50.
Now, let's solve the system of equations:
1. From the first equation, express [tex]\( b \)[/tex] in terms of [tex]\( a \)[/tex]:
[tex]\[
b = 5 - a
\][/tex]
2. Substitute [tex]\( b = 5 - a \)[/tex] into the second equation:
[tex]\[
6a + 4(5 - a) = 24.50
\][/tex]
3. Distribute the 4:
[tex]\[
6a + 20 - 4a = 24.50
\][/tex]
4. Combine like terms:
[tex]\[
2a + 20 = 24.50
\][/tex]
5. Subtract 20 from both sides:
[tex]\[
2a = 4.50
\][/tex]
6. Divide both sides by 2 to solve for [tex]\( a \)[/tex]:
[tex]\[
a = 2.25
\][/tex]
Having found [tex]\( a = 2.25 \)[/tex], substitute back to find [tex]\( b \)[/tex]:
7. Substitute [tex]\( a = 2.25 \)[/tex] into [tex]\( b = 5 - a \)[/tex]:
[tex]\[
b = 5 - 2.25 = 2.75
\][/tex]
So, Andre bought 2.25 pounds of apricots and 2.75 pounds of dried bananas.
Thanks for taking the time to read Andre is buying snacks for his team He buys apricots for tex 6 tex per pound and dried bananas for tex 4 tex per pound. 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
