Kendra spent 180$ on shirts. Fancy shirts cost 20$ and plain shirts cost 15$. if she bought 11 shirts in all, how many of each kind did she buy. Write and solve with a linear equation

There are 3 fancy shirt and 8 plain shirts

Step-by-step explanation:

Let the number of fancy shirt be x and let pain shirts be y.

180=20x+15y

x+y=11

And then solve the equation

3 fancy, 8 plain

Step-by-step explanation:

Let f be the number of fancy shirts bought

Let p be the number of plain shirts bought, then

f + p = 11 and

the cost of all fancy shirts bought is 20f (20 per shirt for f shirts) and

the cost of all plain shirts bought is 15p (15 per shirt for p shirts), so

180 = 20f + 15p (180 spent total on f fancy and p plain shirts)

system of equations

20f + 15p = 180

f + p = 11

solve second equation for f,

f = =11 - p

substitute this value for f into the first equation

20(11 - p) + 15p = 180, solve this for p

220 - 20p + 15p = 180, gather like terms

40 - 5p = 0, add 5p to both sides

40 = 5p, divide both sides by 5

p = 8, substitute this back into the second equation

f + 8 = 11, so

f = 3