Question

Hannah needed to buy new clothes because she had a growth . Clothing Mart was having a all of the jeans and t- shirts. Jeans were on sale for $20 and t- shirts for $10.If Hannah spent $350 and purchased 25 items, how many pair of jeans and t- shirts did she buy?

Answer 1

Let's use the variable x to represent the number of jeans and y to represent the number of t-shirts.

The price paid for x jeans is 20x and the price paid for y t-shirts is 10y.

If the total cost is $350, we can write this equation:

`\begin{gathered} 20x+10y=350 \\ 2x+y=35 \end{gathered}`

The number of items is 25, so we can write a second equation:

`x+y=25`

Subtracting the first and second equations, we have:

`\begin{gathered} 2x+y-(x+y)=35-(25) \\ 2x+y-x-y=10 \\ x=10 \end{gathered}`

Now, solving the second equation for y:

`\begin{gathered} x+y=25 \\ 10+y=25 \\ y=25-10 \\ y=15 \end{gathered}`

Therefore she bought 10 pairs of jeans and 15 t-shirts.