https://file.aiquickdraw.com/mathbot/file/1728564711806qwy1ev02.jpg

Let's solve the problem step by step based on the information provided in the image.

### Step 1: Define Variables
Let:
- $ x $ be the amount spent on tickets.
- $ y $ be the amount spent on snacks.

### Step 2: Set Up Equations
We know the following from the problem:
1. The total amount spent on snacks and tickets is $38: 
   \[
   x + y = 38
   \]
2. The snacks cost $8 more than the tickets:
   \[
   y = x + 8
   \]

### Step 3: Substitute Equation 2 into Equation 1
Substitute $ y = x + 8 $ into the first equation:
\[
x + (x + 8) = 38
\]

### Step 4: Simplify the Equation
Combine like terms:
\[
2x + 8 = 38
\]

### Step 5: Solve for $ x $
Subtract 8 from both sides:
\[
2x = 30
\]
Divide both sides by 2:
\[
x = 15
\]

### Step 6: Solve for $ y $
Now that we know $ x = 15 $, substitute it back into the equation $ y = x + 8 $:
\[
y = 15 + 8 = 23
\]

### Answer
- John’s mom spent **$15** on tickets.
- John’s mom spent **$23** on snacks.

Would you like a detailed explanation or have any questions?

### Related Questions
1. What would happen if the snacks cost $10 more than the tickets instead of $8?
2. How would the solution change if the total amount spent was $50 instead of $38?
3. What if the snacks were twice the cost of the tickets? How would you set up the equation?
4. Can you verify the solution by plugging the values back into the original equation?
5. How can you generalize this problem to find the cost of tickets and snacks if the price difference and total amount were different?

### Tip
Always double-check your solution by substituting the values back into the original equations to ensure they hold true.

John’s mom spent $38 on snacks and tickets at the movies. If the snacks cost $8 more than the tickets, how much did John’s mom spend on the tickets? How much did she spend on snacks?

Learn how to solve a linear equation problem where John’s mom spends $38 on snacks and tickets, with snacks costing $8 more than the tickets. Follow a step-by-step solution to find the cost of each item, suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation