Question

The price of a shirt is 100 dollars. The store manager gives a discount of 50 dollars. A man and his brother brought 4 shirts and then split the cost. What is the numerical expression that represents this situation.

Answer 1

The price of the shirts is p = 100 $/shirt

The two brothers brought n = 4 shirts. This represent:

`T=n\cdot p=4\cdot100=400`

The store manager gives a discount of 50 dollars:

`T_d=T-50=400-50=350`

The two brothers split the total discounted cost between the two:

`c=\frac{T\text{'}}{2}=(350)/(2)=175`

Each brother spent 175 dollars.

We can express it (an leave it unsolved) as:

`(n\cdot p)/(2)-d=(4\cdot100)/(2)-50`

n: number of shirts purchased.

p: price per shirt.

d: discount on the total purchase.

If the discount is per shirt, we have:

`(n\cdot(p-d))/(2)=(4(100-50))/(2)`

If we solve it, we have:

`(n\cdot(p-d))/(2)=(4(100-50))/(2)=(4\cdot50)/(2)=2\cdot50=100`