Math / Algebra

Question9. DIG DEEPER Complete the story and write an equation to match. Your friend has 47 crystals and buys 14 more. You have 75 crystals and $\qquad$ -
Now you and your friend have the same number of crystals. Equation: $\qquad$

Studdy Solution

STEP 1

1. Your friend initially has 47 crystals.
2. Your friend buys 14 more crystals.
3. You initially have 75 crystals.
4. We need to find out how many crystals you need to give away or receive to have the same number as your friend.

STEP 2

1. Calculate the total number of crystals your friend has.
2. Define a variable for the unknown quantity.
3. Write an equation to model the situation.
4. Solve the equation for the unknown quantity.

STEP 3

Calculate the total number of crystals your friend has.
Your friend starts with 47 crystals and buys 14 more, so the total number of crystals your friend has is:
$47 + 14 = 61$

STEP 4

Define a variable for the unknown quantity. Let $x$ be the number of crystals you need to give away or receive to have the same number as your friend.

STEP 5

Write an equation to model the situation. You initially have 75 crystals, and you want to have the same number as your friend, who has 61 crystals. Therefore, the equation is:
$75 - x = 61$

STEP 6

Solve the equation for the unknown quantity.
Subtract 61 from both sides to isolate $x$ :
$75 - 61 = x$ $14 = x$
You need to give away 14 crystals to have the same number as your friend.

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Question9. DIG DEEPER Complete the story and write an equation to match. Your friend has 47 crystals and buys 14 more. You have 75 crystals and $\qquad$ -
Now you and your friend have the same number of crystals. Equation: $\qquad$

Studdy Solution

STEP 1

1. Your friend initially has 47 crystals.
2. Your friend buys 14 more crystals.
3. You initially have 75 crystals.
4. We need to find out how many crystals you need to give away or receive to have the same number as your friend.

STEP 2

1. Calculate the total number of crystals your friend has.
2. Define a variable for the unknown quantity.
3. Write an equation to model the situation.
4. Solve the equation for the unknown quantity.

STEP 3

Calculate the total number of crystals your friend has.
Your friend starts with 47 crystals and buys 14 more, so the total number of crystals your friend has is:
$47 + 14 = 61$

STEP 4

Define a variable for the unknown quantity. Let $x$ be the number of crystals you need to give away or receive to have the same number as your friend.

STEP 5

Write an equation to model the situation. You initially have 75 crystals, and you want to have the same number as your friend, who has 61 crystals. Therefore, the equation is:
$75 - x = 61$

STEP 6

Solve the equation for the unknown quantity.
Subtract 61 from both sides to isolate $x$ :
$75 - 61 = x$ $14 = x$
You need to give away 14 crystals to have the same number as your friend.

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Question9. DIG DEEPER Complete the story and write an equation to match. Your friend has 47 crystals and buys 14 more. You have 75 crystals and \qquad -Now you and your friend have the same number of crystals. Equation: \qquad

Studdy Solution

STEP 1

1. Your friend initially has 47 crystals.2. Your friend buys 14 more crystals.3. You initially have 75 crystals.4. We need to find out how many crystals you need to give away or receive to have the same number as your friend.

STEP 2

1. Calculate the total number of crystals your friend has.2. Define a variable for the unknown quantity.3. Write an equation to model the situation.4. Solve the equation for the unknown quantity.

STEP 3

Calculate the total number of crystals your friend has.Your friend starts with 47 crystals and buys 14 more, so the total number of crystals your friend has is:47+14=61 47 + 14 = 61 47+14=61

STEP 4

Define a variable for the unknown quantity. Let x x x be the number of crystals you need to give away or receive to have the same number as your friend.

STEP 5

Write an equation to model the situation. You initially have 75 crystals, and you want to have the same number as your friend, who has 61 crystals. Therefore, the equation is:75−x=61 75 - x = 61 75−x=61

STEP 6

Solve the equation for the unknown quantity.Subtract 61 from both sides to isolate x x x:75−61=x 75 - 61 = x 75−61=x 14=x 14 = x 14=xYou need to give away 14 crystals to have the same number as your friend.

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Studdy solves anything!

Start learning now

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

Question9. DIG DEEPER Complete the story and write an equation to match. Your friend has 47 crystals and buys 14 more. You have 75 crystals and $\qquad$ -
Now you and your friend have the same number of crystals. Equation: $\qquad$

1. Your friend initially has 47 crystals.
2. Your friend buys 14 more crystals.
3. You initially have 75 crystals.
4. We need to find out how many crystals you need to give away or receive to have the same number as your friend.

1. Calculate the total number of crystals your friend has.
2. Define a variable for the unknown quantity.
3. Write an equation to model the situation.
4. Solve the equation for the unknown quantity.

Calculate the total number of crystals your friend has.
Your friend starts with 47 crystals and buys 14 more, so the total number of crystals your friend has is:
$47 + 14 = 61$

Define a variable for the unknown quantity. Let $x$ be the number of crystals you need to give away or receive to have the same number as your friend.

Write an equation to model the situation. You initially have 75 crystals, and you want to have the same number as your friend, who has 61 crystals. Therefore, the equation is:
$75 - x = 61$

Solve the equation for the unknown quantity.
Subtract 61 from both sides to isolate $x$ :
$75 - 61 = x$ $14 = x$
You need to give away 14 crystals to have the same number as your friend.