


This month Kami sold 70 figurines in two sizes. The large figurines sold for $12 each, and the samil figurines sold for $8 each. The amount of money he received from the sales of the large figurines was equal to the amount of money he received from the sales of the small figurines.

How many large figurines did Kami sell this month?

Let's denote the number of large figurines sold by $ x $ and the number of small figurines sold by $ y $.

We are given two key pieces of information:

1. **Total number of figurines sold:**
   \[
   x + y = 70
   \]

2. **Total revenue from large figurines equals total revenue from small figurines:**
   \[
   12x = 8y
   \]

### Step 1: Solve the second equation for $ y $
\[
12x = 8y
\]
\[
\frac{12x}{8} = y
\]
\[
\frac{3x}{2} = y
\]
\[
y = \frac{3x}{2}
\]

### Step 2: Substitute $ y = \frac{3x}{2} $ into the first equation
\[
x + \frac{3x}{2} = 70
\]

To eliminate the fraction, multiply the entire equation by 2:
\[
2x + 3x = 140
\]
\[
5x = 140
\]
\[
x = \frac{140}{5} = 28
\]

### Step 3: Find $ y $
Substitute $ x = 28 $ back into the equation $ y = \frac{3x}{2} $:
\[
y = \frac{3(28)}{2} = \frac{84}{2} = 42
\]

### Final Answer:
- Kami sold **28 large figurines** this month.
- He sold $ y = 42 $ small figurines.

Would you like further details or have any questions?

---

**Related Questions:**

1. What if the price of large figurines was $15 instead of $12?
2. How would the problem change if the total number of figurines sold was 100?
3. How could you solve this problem using a graph?
4. What if Kami sold 100 figurines, with $10 for large and $5 for small?
5. What would happen if the sales revenue from the large figurines was double that of the small figurines?

**Tip:** When solving problems involving systems of equations, using substitution can be a straightforward approach, especially when one equation is easily solvable for a variable.

Discover how many large figurines Kami sold this month by solving a system of equations. Kami sold a total of 70 figurines, with large figurines priced at $12 each and small figurines at $8 each. The revenue from large figurines equals the revenue from small figurines.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation