Use the substitution method to solve the given system of equations. Write
1 answer:
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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
<u>For Chelsea</u>
7 b + 10 l = $219 ..................1
<u>For Ming</u>
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 =
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