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Chelsea and Ming are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon pies. Chelsea sold 7 blueberry pies and 10 lemon pies for a total of 219 dollars. Ming sold 5 blueberry pies and 1 lemon pie for a total of 52 dollars. What is the cost of each 1 blueberry pie and 1 lemon pie.

Respuesta :

Answer:

The cost of 1 blueberry is $7

The cost of 1 lemon pie is $17

Step-by-step explanation:

Given as :

The number of blueberry sold by Chelsea = 7

The number of lemon pie sold by Chelsea = 10

The number of blueberry sold by Ming = 5

The number of lemon pie sold by Ming = 1

The total selling amount of Chelsea = $219

The total selling amount of Ming = $52

Let The cost of 1 blueberry = b

And The cost of 1 lemon pie = l

Now, According to question

For Chelsea

7 b + 10 l = $219             ..................1

For Ming

5 b + 1 l = $52                .................2

Solving both equations

10×(5 b + 1 l ) - (7 b + 10 l) = 10×52 - 219

Or, 50 b + 10 l - 7 b - 10 l = 520 - 219

Or, (50 b - 7 b) + (10 l - 10 l) = 301

Or, 50 b - 7 b+ 0 = 301

Or, 43 b = 301

∴ b = [tex]\frac{301}{43}[/tex]

I.e b = $7

So, The cost of 1 blueberry = b = $7

Put the value of b in eq 2

So, 5 × 7 + 1 l = $52  

or, 35 + l = $ 52

Or, l = 52 - 35

∴   l = $17

So,  The cost of 1 lemon pie = l = $17

Hence The cost of 1 blueberry is $7

And The cost of 1 lemon pie is $17     Answer

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