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We let
x as the bushels of apples used to make apple cider
y as the bushels of apples used to make apple juice
The system of equations is
x + y = 18
20x + 15y = 330
Solving for x and y
x = 12
y = 6
12 bushels of apples are needed to produce apple cider
6 bushels of apples are needed to produce apple juice<span />
Answer:
Adult ticket is $6
Student ticket is $4, as you said.
Step-by-step explanation:
We'll call adult tickets x and student tix y.
14x + 11y = 128
14x + y = 88
First, solve the second equation for y in terms of x:
y = 88- 14x
Then substitute that for y into the first equation:
14x + 11(88-14x) = 128
14x + 968 - 154x = 128
-140x = -840
x = 6 The adult ticket is $6, like you said.
Now take that and solve for y:
y = 88 - 14(6)
y = 88 - 84
y = 4 The student ticket is $4, as you said.
Hope this helps. Feel free to ask questions so you can understand.
To figure this out just subtract -3 from 2
-3 - 2 = -5
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Y = -5
To make sure plug it in
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2 + (-5) = -3
Y = -5 is True