High School

We appreciate your visit to Apples cost 0 95 per pound and bananas cost 1 10 per pound Leah bought a total of 8 pounds of apples and bananas 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!

Apples cost $0.95 per pound and bananas cost $1.10 per pound. Leah bought a total of 8 pounds of apples and bananas for $8.05.

The system of equations models this situation, where \(a\) is the number of pounds of apples and \(b\) is the number of pounds of bananas:

\[ a + b = 8 \]
\[ 0.95a + 1.10b = 8.05 \]

How many pounds of each did Leah buy?

Answer :

Leah bought 5 pounds of apples and 3 pounds of bananas.

Given data:

To find out how many pounds of apples (a) and bananas (b) Leah bought, you can use a system of equations. We already have one equation:

a + b = 8

Now, let's create a second equation based on the total cost:

0.95a + 1.10b = 8.05

Now, you can solve this system of equations simultaneously. One way to do it is by using the method of substitution. Let's solve for a in the first equation:

a = 8 - b

Now, substitute this expression for a into the second equation:

0.95(8 - b) + 1.10b = 8.05

Now, solve for b:

7.6 - 0.95b + 1.10b = 8.05

Combine the like terms:

0.15b = 8.05 - 7.6

0.15b = 0.45

Now, divide by 0.15 to solve for b:

b = 0.45 / 0.15

b = 3

So, Leah bought 3 pounds of bananas (b = 3).

Now that we know the value of b, we can find the value of a using the first equation:

a + 3 = 8

Subtract 3 from both sides:

a = 8 - 3

a = 5

Hence, Leah bought 5 pounds of apples (a = 5).

To learn more about equations, refer:

https://brainly.com/question/19297665

#SPJ1

Thanks for taking the time to read Apples cost 0 95 per pound and bananas cost 1 10 per pound Leah bought a total of 8 pounds of apples and bananas 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!

Rewritten by : Barada