Kelly went back-to-school shopping this weekend. She spent $225 on jeans and
shirts. She bought a total of 14 items, with jeans costing $18 and shirts costing
$15. How many shirts did she buy?

Respuesta :

The answer is 9 shirts 9x15=135 5x18=90 =225

Answer:

Kelly bought 9 shirts.

Solution:

As given she spent total [tex]\$225[/tex] on jeans and shirt

Let us assume that she bought x number of jeans and y number of shirts

She bought total 14 items,

Hence [tex]x+y = 14[/tex]

[tex]x=(14-y)[/tex] ………… (i)

Each jens costs [tex]\$18[/tex], So x number of jeans will cost total [tex]\$18x[/tex]

Each shirt costs [tex]\$15[/tex], so y number of shirts will cost total [tex]\$15y[/tex]

So we can say ,

[tex]18x +15y = 225[/tex] ………… (ii)

Now substituting value of  (i) in (ii) we get,

[tex]18\times(14-y) +15y = 225[/tex]

[tex]252 -18y +15y = 225[/tex]

[tex]-3y = 225 -252[/tex]

[tex]-3y=-27[/tex]

[tex]y = 9[/tex]

So, [tex]x = (14-9) = 5[/tex]

She bought 9 shirts.