https://file.aiquickdraw.com/mathbot/file/1726958263874ni7d2jys.jpg

Let's solve this problem step by step.

### Problem breakdown:
- The store owner takes 180 preorders for smartphones and 270 preorders for tablets.
- The total revenue from the preorders is $262,350.
- The cost of one smartphone and one tablet combined is $1,235.

Let:
- $ x $ be the cost of one smartphone.
- $ y $ be the cost of one tablet.

### Two equations:
1. The total revenue equation:
   \[
   180x + 270y = 262,350
   \]
   
2. The sum of the costs of a smartphone and a tablet:
   \[
   x + y = 1,235
   \]

### Solving the system of equations:
We will solve this system of equations using substitution or elimination.

#### Step 1: Solve the second equation for $ x $:
\[
x = 1,235 - y
\]

#### Step 2: Substitute $ x = 1,235 - y $ into the first equation:
\[
180(1,235 - y) + 270y = 262,350
\]
Now expand the equation:
\[
180 \times 1,235 - 180y + 270y = 262,350
\]
\[
222,300 + 90y = 262,350
\]

#### Step 3: Solve for $ y $:
\[
90y = 262,350 - 222,300
\]
\[
90y = 40,050
\]
\[
y = \frac{40,050}{90} = 445
\]

#### Step 4: Solve for $ x $:
Now that we know $ y = 445 $, substitute it into the second equation:
\[
x + 445 = 1,235
\]
\[
x = 1,235 - 445 = 790
\]

### Final Answer:
- The cost of one smartphone $ x $ is $790.
- The cost of one tablet $ y $ is $445.

Let me know if you'd like further clarification or a detailed explanation!

---

**Follow-up Questions:**
1. How would the solution change if the total preorder revenue was different?
2. What would happen if the number of smartphones and tablets ordered were the same?
3. How can you verify the correctness of the solution using substitution?
4. What is the impact on revenue if the price of each smartphone increases by 10%?
5. How would you approach the problem if the cost of two smartphones and three tablets was given instead?

**Tip:** Always double-check the substitution and basic calculations when solving systems of equations!

A wireless store owner takes presale orders for a new smartphone and tablet. He gets 180 preorders for the smartphone and 270 orders for the tablet. The combined sale of the preorders is $262,350. If the price of a smartphone and a tablet together is $1,235, find the cost of one smartphone and the cost of one tablet.

Learn how to solve a system of linear equations to find the cost of one smartphone and one tablet, given preorder sales data. This problem covers algebraic concepts like linear equations and substitution, suitable for Grades 8-10.

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