Math / Algebra

QuestionThere are 24 nickels on one pan of a pan balance and 19 nickels on the other. To make the pans balance, Levi thinks 2 nickels should be added to the higher pan, Isaac thinks 4 nickels should be added, and Miranda thinks 5 nickels should be added. Use the equation $24=19+n$ to determine who is correct. $\square$ is correct because the value $\square$ makes the equation $\square$
Isaac
Miranda Levi

Studdy Solution

STEP 1

What is this asking? We need to figure out how many nickels to add to the lighter side of a balance scale to make it equal to the heavier side. Watch out! Don't get tricked by the names!
Focus on the numbers and the balance.

STEP 2

1. Set up the Equation
2. Solve for the Unknown
3. Check the Answer

STEP 3

Alright, so we've got a balance scale, and we want both sides to have the same weight!
We have $\text{24}$ nickels on one side and $\text{19}$ on the other.
We want to find out how many nickels, which we'll call $n$ , we need to add to the lighter side ( $\text{19}$ nickels) to make it equal to the heavier side ( $\text{24}$ nickels).

STEP 4

This gives us the equation: $19 + n = 24$ This equation says, "19 nickels plus some number of nickels ( $n$ ) equals 24 nickels".

STEP 5

Our goal is to get $n$ all by itself!
To do that, we need to move that $\text{19}$ to the other side of the equation.
Since $\text{19}$ is added to $n$ , we'll do the opposite operation: subtraction!

STEP 6

Subtract $\text{19}$ from both sides of the equation: $19 + n - 19 = 24 - 19$

STEP 7

On the left side, $19-19=0$ , so we are left with just $n$ .
On the right side, $24 - 19 = 5$ .
So, $n = 5$

STEP 8

Let's plug our answer back into the original equation to make sure it works!
We found that $n = 5$ , so we substitute $\text{5}$ for $n$ in the equation $19 + n = 24$ .

STEP 9

$19 + 5 = 24$ $24 = 24$ BOOM! It works!

STEP 10

Miranda is correct!
We need to add 5 nickels to the side with $\text{19}$ nickels to make $\text{24}$ nickels, balancing the scale.
The equation becomes $24 = 19 + 5$ .

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many nickels to add to the lighter side of a balance scale to make it equal to the heavier side. Watch out! Don't get tricked by the names!
Focus on the numbers and the balance.

STEP 2

1. Set up the Equation
2. Solve for the Unknown
3. Check the Answer

STEP 3

STEP 4

This gives us the equation: $19 + n = 24$ This equation says, "19 nickels plus some number of nickels ( $n$ ) equals 24 nickels".

STEP 5

Our goal is to get $n$ all by itself!
To do that, we need to move that $\text{19}$ to the other side of the equation.
Since $\text{19}$ is added to $n$ , we'll do the opposite operation: subtraction!

STEP 6

Subtract $\text{19}$ from both sides of the equation: $19 + n - 19 = 24 - 19$

STEP 7

On the left side, $19-19=0$ , so we are left with just $n$ .
On the right side, $24 - 19 = 5$ .
So, $n = 5$

STEP 8

Let's plug our answer back into the original equation to make sure it works!
We found that $n = 5$ , so we substitute $\text{5}$ for $n$ in the equation $19 + n = 24$ .

STEP 9

$19 + 5 = 24$ $24 = 24$ BOOM! It works!

STEP 10

Miranda is correct!
We need to add 5 nickels to the side with $\text{19}$ nickels to make $\text{24}$ nickels, balancing the scale.
The equation becomes $24 = 19 + 5$ .

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Studdy Solution

STEP 1

What is this asking? We need to figure out how many nickels to add to the lighter side of a balance scale to make it equal to the heavier side. Watch out! Don't get tricked by the names!Focus on the numbers and the balance.

STEP 2

1. Set up the Equation2. Solve for the Unknown3. Check the Answer

STEP 3

STEP 4

This gives us the equation: 19+n=2419 + n = 2419+n=24 This equation says, "**19** nickels plus some number of nickels (nnn) equals **24** nickels".

STEP 5

Our goal is to get nnn all by itself!To do that, we need to move that 19\text{19}19 to the other side of the equation.Since 19\text{19}19 is added to nnn, we'll do the opposite operation: subtraction!

STEP 6

Subtract 19\text{19}19 from both sides of the equation: 19+n−19=24−1919 + n - 19 = 24 - 1919+n−19=24−19

STEP 7

On the left side, 19−19=019-19=019−19=0, so we are left with just nnn.On the right side, 24−19=524 - 19 = 524−19=5.So, n=5n = 5n=5

STEP 8

Let's plug our answer back into the original equation to make sure it works!We found that n=5n = 5n=5, so we substitute 5\text{5}5 for nnn in the equation 19+n=2419 + n = 2419+n=24.

STEP 9

19+5=2419 + 5 = 2419+5=24 24=2424 = 2424=24 BOOM! It works!

STEP 10

Miranda is correct!We need to add **5** nickels to the side with 19\text{19}19 nickels to make 24\text{24}24 nickels, balancing the scale.The equation becomes 24=19+524 = 19 + 524=19+5.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We need to figure out how many nickels to add to the lighter side of a balance scale to make it equal to the heavier side. Watch out! Don't get tricked by the names!
Focus on the numbers and the balance.

1. Set up the Equation
2. Solve for the Unknown
3. Check the Answer

This gives us the equation: $19 + n = 24$ This equation says, "19 nickels plus some number of nickels ( $n$ ) equals 24 nickels".

Our goal is to get $n$ all by itself!
To do that, we need to move that $\text{19}$ to the other side of the equation.
Since $\text{19}$ is added to $n$ , we'll do the opposite operation: subtraction!

Subtract $\text{19}$ from both sides of the equation: $19 + n - 19 = 24 - 19$

On the left side, $19-19=0$ , so we are left with just $n$ .
On the right side, $24 - 19 = 5$ .
So, $n = 5$

Let's plug our answer back into the original equation to make sure it works!
We found that $n = 5$ , so we substitute $\text{5}$ for $n$ in the equation $19 + n = 24$ .

$19 + 5 = 24$ $24 = 24$ BOOM! It works!

Miranda is correct!
We need to add 5 nickels to the side with $\text{19}$ nickels to make $\text{24}$ nickels, balancing the scale.
The equation becomes $24 = 19 + 5$ .