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.