BONUS QUESTION: A clothing store sells T-shirts, pants, and socks. The prices of the items do not change regardless of the quantities purchased. Purchasing a T-shirt, one pair of pants, and a pair of socks costs $25.70. For $32.50, you can buy 2 T-shirts and a pair of pants. A pair of pants and two pairs of socks can be purchased for $18.90. How much does each item cost? (solve using an algebraic expression) - show your full solution below.

$6.80 = T-shirt

$18.90 = pants

$6.80 = pair of socks

Step-by-step explanation:

p + s = 25.70

2t + p = 32.50

p + 2s = 18.90

18.90 - 2s = 25.70 -s

-18.90 + s    -18.90 +s

      s = $6.80

p = 25.70-6.8= 18.90

2t + 18.90 = 32.50

2t = 32.50 - 18.90 = 13.6

t = 13.6/2 = 6.80

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.