Question

Bre is shopping with her mom.She picks out a pair of jeans thatcost $60 and some t-shirts thatcost $12 each. If Bre's mom gavehe a budget of $130, what is themaximum number of t-shirtsshe can buy?

Answer 1

Given:

The total number of jeans is, j = 2.

The cost of jeans is, c (j) = $60.

The cos of t shirts is, c (t) = $12.

The total budjet of the purchase is, T = $130.

The objective is to find the maximum number of t-shirts that can be buy.

Explanaion:

Consider the number of t-shirts as t.

Then, the equation of cost can be written as,

`\begin{gathered} j(c(j))+t(c(t))=T \\ 2($60$)+t(12)\le130\text{ . . . .(1)} \end{gathered}`

To find t :

On solving the equation for t,

`\begin{gathered} 120+12t=130 \\ 12t=130-120 \\ 12t=10 \\ t=(10)/(12) \\ t=0.83333\ldots. \end{gathered}`

Since the value of t-shirt is less than 1, the person cannot buy any t-shirt.

Hence, the maximum number of t-shirts that can be buy with a budjet of $130 is zero.