Your favorite local band is selling merchandise and they have asked you to write an algebraic expression to represent their total profit. The are selling t-shirts for $15 each and CDs for $5 each. Write an expression to represent the total profit for t number of shirts sold and c number of CDs sold.
Evaluate your expression for 10 shirts and 25 CDs sold.

Step-by-step explanation:

Let "t' be the number of t-shirts bought.

Let "c" be the number of CDs bought.

Let b" be the total cost.

15t + 5c = b

We buy 10 t-shirts so t = 10.

We buy 25 CDs so c = 25.

We are trying to find b.

15t + 5c = b

15(10) + 5(25) = b

150 + 125 = b

275 = b

Best of Luck!

Step-by-step explanation:

t-shirts for $15 = t

cd's for $5 = c

let tp = total profit

the algebraic expression would be:

15t + 5c = tp

evaluate the expression 15t + 5c = tp

for t = 10 and c = 25

plugin values into the formula:

15(10) + 5(25) = tp

tp = 150 + 125

tp = 275

therefore, the total profit is $275

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.