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(PLEASE HELP QUICKLY)Zendaya and her children went into a grocery store and she bought $6 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.30. She bought a total of 11 apples and bananas altogether. By following the steps below, determine the number of apples,

Determine three ways to have a total of 11 apples and bananas:

1 Answer

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  1. A = 1, B = 10 (1 apple and 10 bananas)
  2. A = 5, B = 6 (5 apples and 6 bananas)
  3. A = 8, B = 3 (8 apples and 3 bananas)

Zendaya bought 6 apples and 5 bananas, which is the correct combination that satisfies both equations.

Let's denote the number of apples Zendaya bought as A and the number of bananas as B. We know that:

The total cost of apples and bananas is $6.

She bought a total of 11 apples and bananas.

We can write the equations as follows:

  1. 0.75A + 0.30B = 6 (Total cost equation)
  2. A + B = 11 (Total number equation)

First, we will determine three ways to have a total of 11 apples and bananas:

  1. A = 1, B = 10 (1 apple and 10 bananas)
  2. A = 5, B = 6 (5 apples and 6 bananas)
  3. A = 8, B = 3 (8 apples and 3 bananas)

Next, we will check which of these combinations satisfies the total cost equation:

  1. 0.75(1) + 0.30(10) = 0.75 + 3 = 3.75 (This doesn't equal 6, so it's not a solution)
  2. 0.75(5) + 0.30(6) = 3.75 + 1.80 = 5.55 (This doesn't equal 6, so it's not a solution)
  3. 0.75(8) + 0.30(3) = 6 + 0.90 = 6.90 (This doesn't equal 6, so it's not a solution)

None of these three combinations satisfy the total cost equation. Let's solve the system of equations to find the correct number of apples and bananas:

To solve this system, we can use the substitution or elimination method. We'll use the substitution method here. We can rewrite the second equation to isolate either A or B. We'll isolate A:

A = 11 - B

Now substitute this expression for A into the first equation:

0.75(11 - B) + 0.30B = 6

Expand the equation:

8.25 - 0.75B + 0.30B = 6

Combine like terms:

-0.45B = -2.25

Divide by -0.45:

B = 5

Now we can substitute this value of B back into the equation for A:

A = 11 - 5

A = 6

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