To write and solve the system of linear equations to find the price of 1 cup of

Armorikam

Armorikam

Answered question

2021-09-10

To write and solve the system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds.
Given: A small bag of trail mix contains 3 cups of driedd fruit and 4 cups of almonds. A large bag contains 412 cups of dried fruit and 6 cups of almonds.

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2021-09-11Added 99 answers

Calculation:
Let the cost of 1 cup of dried fruit be x
And let the cost of 1 cup of almonds be y
According to the question,
3x+4y=6
412x+6y=992x+6y=9
3x+4y=6 ...........(i)
9x+12y=18 .............(ii)
Now, divide equation (ii) by 3
3x+4y=6 .........(iii)
Now, subtract equation (i) from equation (iii),
(3x+4y)(3x+4y)=66
3x+4y3x4y=0
0=0
Therefore, there will be an infinite number of solutions that satisfy both the equations.
Conclusion:
Therefore, the price of 1 cup of dried fruit and 1 cup of almonds has infinite set of solutions.

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