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

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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