Question

Total of 6 pies. Two lemon meringue pies cost $3 less than four blueberry pies. Three lemon meringue pies cost #9 more than three blueberry pies. How much does each type of pie cost?

Answer 1

Answer:

L Pie - $7.50

B Pie - $4.50

Step-by-step explanation:

Let's create equations with the given things:

1.  Two lemon meringue pies cost $3 less than four blueberry pies.

2L - $3 = 4B

2. Three lemon meringue pies cost #9 more than three blueberry pies.

3L = $9+3B

3. Let's solve these 2 equations

1. -3(-4B+2L=-3)

2. 2(-3B+3L=9)

3. Adding these 2 equations:  

12B-6L = 9 ----(1)

-6B+6L= 18 ----(2)

(1) + (2) => 6B=27

B=$4.50

4. 2L = 4(4.50) - 3

L= $7.50

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Source: TutorEye