Respuesta :
If the total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16 then the price of one umbrella is $8 and price of one cap is $4.
Given that the total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16.
We have to find the price of one umbrella and one cap.
We have to form equations first to find the price of umbrella and cap.
Equation of two variables look like ax+by=c. It can be a linear equation, quadratic equation or a cubic equation.
let the price of umbrella be x and price of cap is y.
We know that total cost is equal to price of one unit multiplied by the units.
According to question.
2x+y=20----------1
x+2y=16-----------2
Multiply equation 2 by 2 and then subtract resulted equation from equation 1.
2x+y-2x-4y=20-32
-3y=-12
y=-12/-3
y=4
put the value of y in equation 2 to get the value of x.
x+2y=16
x+2*4=16
x+8=16
x=16-8
x=8
Hence the price of one umbrella is $8 and the price of one cap is $4.
Learn more about equations at https://brainly.com/question/2972832
#SPJ1
