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 tie
s for a total price of $84. How much would it cost to buy 1 shirt and 2 ties?
1 answer:
Answer:
The cost to buy 1 shirt and 2 ties is equal to $36.5
Step-by-step 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
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The length of the rug is 4 ft.
The width of the rug is 2.5 ft.
Explanation:
The area of the rug is 10 ft.
The length of the rug be l.
Let us convert the inches to feet.
Thus,
Thus, the length of the rug is
Let the width of the rug be w.
Substituting these values in the formula of area of the rectangle, we get,
Solving the expression using the quadratic formula,
Substituting the values, we have,
Thus,
and
Since, the value of w cannot be negative, the value of w is 2.5ft
Thus, the width of the rug is 2.5ft
Substituting in
, we get,
Thus, the length of the rug is 4 ft.