Question

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.

Answer 1

15t + 5c = tp

tp = $275

Explanation:

t-shirts for $15 = t

cd's for $5 = c

let tp = total profit

the algebraic expression would be:

15t + 5c = tp

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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

Answer 2

1. 15t + 5c = b
2. $275

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!