QuestionThere are 35 nickels on one pan of a pan balance and 26 nickels on the other. To make the pans balance, Levi thinks 5 nickels should be added to the higher pan, Isaac thinks 8 nickels should be added, and Miranda thinks 9 nickels should be added. Use the equation $35=26+n$ to determine who is correct. $\square$ is correct because the value $\square$ makes the equation $\square$

Studdy Solution

STEP 1

1. There are 35 nickels on one pan and 26 nickels on the other.
2. We need to determine how many nickels should be added to the pan with 26 nickels to balance the pans.
3. The equation to solve is $35 = 26 + n$ .
4. We need to determine if Levi, Isaac, or Miranda is correct.

STEP 2

1. Understand the problem and set up the equation.
2. Solve the equation for $n$ .
3. Determine which person's suggestion is correct.

STEP 3

Understand the problem and set up the equation.
We are given the equation $35 = 26 + n$ , where $n$ is the number of nickels needed to balance the pans.

STEP 4

Solve the equation for $n$ .
Subtract 26 from both sides of the equation to isolate $n$ :
$35 - 26 = n$
Simplify the left side:
$9 = n$

STEP 5

Determine which person's suggestion is correct.
Levi thinks 5 nickels should be added. Isaac thinks 8 nickels should be added. Miranda thinks 9 nickels should be added.
Since $n = 9$ , Miranda is correct.
The solution is: Miranda is correct because the value 9 makes the equation $35 = 26 + 9$ .

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