Question

Two competing bakeries have been selling apple pies and blueberry pies during the fall season. At Carina's Pie Perfectionary (CPP), apple pies cost $24.50 each and each blueberry pie costs $3.25 more than an apple pie. At Jayden's Delightful Desserts (JDD), an apple pie sells for the same price as a blueberry pie at CPP while a blueberry pie sells for $4.00 more than an apple pie at CPP. Both bakeries each sold the same number of apple pies and the same number of blueberry pies this fall season. If CPP sold 140 of these pies and earned $3621.75 on purchases of these pies, then how much money did JDD make on these pies this season?

Answer 1

Jayden's Delightful Desserts (JDD) made a total of $3937.50 from the sale of apple and blueberry pies this season. Carina's Pie Perfectionary (CPP) sold 70 apple pies and 70 blueberry pies, and since the number and prices of pies sold by JDD can be derived from the information given about CPP, we calculated JDD's total earnings by multiplying the number of pies sold by their respective prices.

Step-by-step explanation:

To determine how much money Jayden's Delightful Desserts (JDD) made on the apple and blueberry pies, we first need to calculate the cost of each pie at Carina's Pie Perfectionary (CPP). The apple pies cost $24.50 each at CPP, and the blueberry pies cost $3.25 more, making them $27.75 each. JDD sells apple pies at the same price as blueberry pies at CPP ($27.75 each), and their blueberry pies are $4.00 more expensive than apple pies at CPP, costing $28.50 each.

Sold at CPP are 140 pies which earned them $3621.75. Since each type of pie is sold in equal numbers, we can set up two equations to solve for the quantity of each pie sold at CPP:

• Let x be the number of apple pies sold.
• Let y be the number of blueberry pies sold.
• x + y = 140 (total number of pies sold).
• 24.50x + 27.75y = 3621.75 (total earnings from pies).

Since the pies are sold in equal numbers, x = y. With this substitution, the second equation simplifies and we have:

24.50x + 27.75x = 3621.75

Solving this equation, we find that x = 70. Hence, CPP sold 70 apple pies and 70 blueberry pies.

Now to find JDD's earnings:

• 70 apple pies at $27.75 each: 70 * 27.75 = $1942.50
• 70 blueberry pies at $28.50 each: 70 * 28.50 = $1995.00

The total earnings for JDD can be determined by adding the earnings from apple pies and blueberry pies:

$1942.50 (apple pies) + $1995.00 (blueberry pies) = $3937.50

Therefore, Jayden's Delightful Desserts made $3937.50 on these pies this season.