Andrea buys four shirts and three pairs of pants for $85.50. She returns the next day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?

How would I solve this?
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Let x = cost of each shirt

let y = cost of each pair of pants

4x+3y = $85.50
3x + 5y = $115.00

You can use the Addition/Elimination method to solve this problem. You have to eliminate one of the variables. You can multiply the top equation by -3 and the second equation by 4. This will cause the x's to be eliminated.

You can then solve for y. Once you have y, go back into one of the original equations to solve for y.

Be sure to check your answers in both of the original equations.

x=7.5

y=18.5

To solve this problem, we will use a system of equations.

Let's denote the price of each shirt as "s" and the price of each pair of pants as "p".

From the first statement, we know that Andrea bought four shirts and three pants for a total of $85.50. So, we can set up the equation:

4s + 3p = 85.50 -- Equation 1

From the second statement, we know that she bought three shirts and five pants for a total of $115.00. So, we can set up another equation:

3s + 5p = 115.00 -- Equation 2

Now, we have a system of equations with two variables (s and p). To solve this system, we can use the method of substitution or elimination. Let's use the method of elimination:

Multiply Equation 1 by 5 and Equation 2 by 3 to eliminate the variable "p":

20s + 15p = 427.50 -- Equation 3
9s + 15p = 345.00 -- Equation 4

Subtract Equation 4 from Equation 3 to eliminate "p":

(20s + 15p) - (9s + 15p) = 427.50 - 345.00

11s = 82.50

Divide both sides by 11 to solve for "s":

s = 82.50 / 11
s = 7.50

Now substitute the value of "s" back into one of the original equations (let's use Equation 1):

4s + 3p = 85.50

4(7.50) + 3p = 85.50

30 + 3p = 85.50

3p = 85.50 - 30

3p = 55.50

Divide both sides by 3 to solve for "p":

p = 55.50 / 3
p = 18.50

Therefore, the price of each shirt is $7.50 and the price of each pair of pants is $18.50.