Question

At a clothing store, Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Steph bought 3 shirts and 3 ties for a total price of $84. How much would it cost to buy 1 shirt and 2 ties?

Answer 1

The cost to buy 1 shirt and 2 ties is equal to $36.5

Explanation:

Let

x-----> the cost of one shirt

y---> the cost of one tie

we know that

4x+2y=95 -----> equation A

3x+3y=84 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (19.5,8.5)

see the attached figure

therefore

The cost of one shirt is $19.5

The cost of one tie is $8.5

The cost to buy 1 shirt and 2 ties is equal to

x+2y=19.5+2(8.5)=$36.5