Let's write 2 equations from the two statements given.
<em>Sarah spent 10 dollars on both oranges and apples</em>
<em />
Let the price of oranges be "x" and price of apples be "y", thus we can write:
![x+y=10](https://tex.z-dn.net/?f=x%2By%3D10)
Oranges cost 3 less than apples, thus we can say:
![y-3=x](https://tex.z-dn.net/?f=y-3%3Dx)
We can substitute this into the first equation and solve for y:
![\begin{gathered} x+y=10 \\ y-3+y=10 \\ 2y=10+3 \\ 2y=13 \\ y=\frac{13}{2} \\ y=6.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2By%3D10%20%5C%5C%20y-3%2By%3D10%20%5C%5C%202y%3D10%2B3%20%5C%5C%202y%3D13%20%5C%5C%20y%3D%5Cfrac%7B13%7D%7B2%7D%20%5C%5C%20y%3D6.5%20%5Cend%7Bgathered%7D)
Thus, let's solve for x now,
![\begin{gathered} x=y-3 \\ x=6.5-3 \\ x=3.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3Dy-3%20%5C%5C%20x%3D6.5-3%20%5C%5C%20x%3D3.5%20%5Cend%7Bgathered%7D)
We want the price of oranges (x), thus,
<em>Price of Oranges = $3.50</em>
3y = -2x + 2
y = x + 4 (Substitute the y)
3(x + 4) = -2x + 2 (Distribute)
3x + 12 = -2x + 2 (Add 3 to both sides)
+3x +3x
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12 = 1x + 2 (Subtract 2 from both sides)
-2 - 2
------------------------
10 = 1x (Divide by 1 on both sides)
10/1 = 1x/1
x = 10
This is your x-coordinate
Answer:
8/15
Step-by-step explanation:
because there are 8 red marbles out of 15 marbles
Answer:
12
Step-by-step explanation:
Length=4
Width=6
Triangle area formula: Length*Width/2
So, 6*4/2
Equal to 6*2
Answer: 12
460/12 = 33.3 so about 32 trays if the smallest and 33 as the answer but best would be 33