Let's write 2 equations from the two statements given.
<em>Sarah spent 10 dollars on both oranges and apples</em>
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Let the price of oranges be "x" and price of apples be "y", thus we can write:
Oranges cost 3 less than apples, thus we can say:
We can substitute this into the first equation and solve for y:
Thus, let's solve for x now,
We want the price of oranges (x), thus,
<em>Price of Oranges = $3.50</em>
the shorter piece is 8 feet long
the longer piece is 19 feet long
HOPE THIS HELPS!!!
Answer:
x=3
Step-by-step explanation:
Simplifying
4(4x + -3) = 36
Reorder the terms:
4(-3 + 4x) = 36
(-3 * 4 + 4x * 4) = 36
(-12 + 16x) = 36
Solving
-12 + 16x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 16x = 36 + 12
Combine like terms: -12 + 12 = 0
0 + 16x = 36 + 12
16x = 36 + 12
Combine like terms: 36 + 12 = 48
16x = 48
Divide each side by '16'.
x = 3
Simplifying
x = 3
You can find additive inverse to find integers and their opposites closed under addition.
Answer:
16 bicycles and 21 tricycles
Step-by-step explanation:
Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.
Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:
b + t = 37
2b + 3t = 95
Solve by elimination by multiplying the top equation by -2:
-2b - 2t = -74
2b + 3t = 95
t = 21
Then, plug in 21 as t into one of the equations:
b + t = 37
b + 21 = 37
b = 16
So, there are 16 bicycles and 21 tricycles
