Question

Question
Dahlia bought Granny Smith and Macintosh apples at the grocery store. The Granny Smith apples were $1.35 each if you bought 6. Find the cost of each Macintosh apple if the total cost is $15 and she bought 6 of each.
show ur steps ples

Answer 1

Let's break down the problem step by step.

1. **Calculate the cost of the Granny Smith apples:**
- Price per Granny Smith apple = $1.35
- Number of Granny Smith apples bought = 6

Cost of Granny Smith apples = Price per apple × Number of apples
\[
\text{Cost of Granny Smith apples} = 1.35 \times 6 = 8.10
\]

2. **Determine the total cost of both types of apples:**
- Total cost of apples bought = $15

3. **Calculate the cost of the Macintosh apples:**
Let \( x \) be the cost of each Macintosh apple. Since she bought 6 Macintosh apples, the cost of the Macintosh apples will be:
\[
\text{Cost of Macintosh apples} = 6x
\]

4. **Setup the equation based on the total cost:**
The total cost of both types of apples is given by:
\[
\text{Cost of Granny Smith apples} + \text{Cost of Macintosh apples} = \text{Total cost}
\]
Substituting the known values into the equation:
\[
8.10 + 6x = 15
\]

5. **Solve for \( x \):**
Subtract 8.10 from both sides of the equation:
\[
6x = 15 - 8.10
\]
\[
6x = 6.90
\]
Now, divide both sides by 6:
\[
x = \frac{6.90}{6}
\]
\[
x = 1.15
\]

Thus, the cost of each Macintosh apple is **$1.15**.