Math

Question Rewrite a math problem to get the same answer as dividing 44.5 by 5 and subtracting 23. Options: 5(x23)=44.55(x-23)=44.5, 5(x+23)=44.55(x+23)=44.5, 5x23=44.55x-23=44.5, 5x+23=44.55x+23=44.5.

Studdy Solution

STEP 1

Assumptions
1. Julia first divided 44.5 by 5.
2. Then she subtracted 23 from the result of the division.
3. We need to find an equation that represents these operations and can be solved to get the same answer.

STEP 2

Let's represent the unknown final answer as x x . According to the problem, Julia first divided 44.5 by 5, so we write this operation as:
44.55 \frac{44.5}{5}

STEP 3

Next, she subtracted 23 from the result of the division. We represent this operation as:
44.5523 \frac{44.5}{5} - 23

STEP 4

Now, we set the expression equal to x x to represent the sequence of operations Julia performed to solve the problem:
x=44.5523 x = \frac{44.5}{5} - 23

STEP 5

To find an equation that can be solved to get the same answer as x x , we need to reverse the operations. First, we will reverse the subtraction by adding 23 to both sides of the equation:
x+23=44.55 x + 23 = \frac{44.5}{5}

STEP 6

Next, we reverse the division by 5 by multiplying both sides of the equation by 5:
5(x+23)=44.5 5(x + 23) = 44.5

STEP 7

Now we have an equation that represents the same operations Julia performed. The equation is:
5(x+23)=44.5 5(x + 23) = 44.5

STEP 8

We compare this equation with the given options to determine which one matches:
1. 5(x23)=44.5 5(x-23)=44.5 - This does not match because it subtracts 23 inside the parentheses, which is not what Julia did.
2. 5(x+23)=44.5 5(x+23)=44.5 - This matches the equation we derived.
3. 5x23=44.5 5x-23=44.5 - This does not match because it subtracts 23 after multiplying by 5, which is not what Julia did.
4. 5x+23=44.5 5x+23=44.5 - This does not match because it adds 23 after multiplying by 5, which is not what Julia did.

STEP 9

The correct equation that could be solved to get the same answer Julia got is:
5(x+23)=44.5 5(x + 23) = 44.5

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