Solve the following system of equations 3x-1/5y=3/5 1/2x-1/3y=-17
1 answer:
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Answer:
<u>Multiply</u>
<u>Multiply</u>
<u>Note</u>
Multiplying/Dividing a negative to a positive will equal a negative. (N×P=N)
Multiplying/Dividing a negative to a negative will equal a positive. (N×N=P)
Multiplying/Dividing a positive to a positive will equal a positive. (P×P=P)
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So, (Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.