HHHEELLPP!! I have a math problem I can not figure out.. I need all the steps so I know what I am doing.?

Question

Dot sells 250 t-shirts($2) and shorts ($4). In April, total sales were $600. How many t'shirts and shorts did Dots sell?

Answer 1

let t = t shirts sold and s = shorts sold, total sales = $600

Then t + s = 250
and 2t+ 4s = 600

solve for t in one equation and put it in the other

t = 250 - s

2(250-s) + 4s = 600

combine like terms, and solve for s

500 - 2s + 4s = 600
2s = 100
s = 50

Solve for t using the first equation.

Check that 2t + 4s = 600

Answer 2

First you have to make two equations, and I like to make a key.

T (stands for shirts) S (stands for shorts)

T+S=250 << 2T+4S=600 <<
What you can do from here is substitution or elimination. I prefer substitution. You take the T+S=250 equation and move either the T or S to the other side. I'm moving the T. This gives you:

S=250-T

Then you substitute (duh) the S in the second equation and that gives you:

2T+4(250-T)=600

Then you multiple everything out (you multiple the four to both 250 and T) and add the T's. Once you've done that, you divide 600 by the number of T's and then you'll have T. Then you can just substitute after that. That should be it. I've been off school for 3 months so if I'm wrong, so sorry.

Answer 3

Let x==the number of shirts sold.
Let y==the number of shorts sold.

x + y = 250 (the total number of shirts and shorts is equal to 250.)
2x + 4y = 600 ($2 times the # of shirts + $4 times the number of shorts is equal to $600)

Solve for X. X=250-y
Plug that into the 2nd equation:
2(250-y)+4y = 600
Solve for Y. Y=50
Now X=200 because 250-50=200

Answer 4

You have 2 known equations: T + S = 250 and 2(T) +4(S)=600. From the 1st equation S = 250 -T so you can substitute in the 2nd equation. 2(T) + 4(250-T) = 600 multiplying out. 2T + 1000-4T =600. Trasferring sides we get 1000-600 = 4T -2T. Simplfying 400= 2T. Dividing out we get 200 = T. Back to the first equation. we get 200 +S = 250 so S = 50. Checking from the 2nd equation 2(200) + 4(50) = 600. Therefore 50 shorts and 200 T shirts.

Answer 5

Call the t-shirts t and the shorts s.

You told us that D sells 250 tshirts and shorts, that will form one equation:

250=t+s

You also told us that the April sales were $600. Along with the prices, this gives:
600=2t+4s

If you rearrange the first equn you get t=250-s. Substitute this into the second eqn:
600=2(250-s)+4s
and simplify and solve
600=500-2s+4s
600-500=2s
100=2s
100/2=s
50=s

Stick this back into the first equn:
250=t+50
200=t

Ta-da! She sold 200 Tshirts and 50 shorts.

Answer 6

X: number of shirts sold

Y: number of shorts sold

(a) X+Y = 250

(b) 2*X+4*Y = total sales = 600

Divide (b) by two on both sides:

X + 2*Y = 300 (c)

From (a): X = 250-Y. Inject this into (c):

X+2*Y = 250-Y+2*Y = 300.

So Y = 50, X = 250-Y = 200.

Answer 7

The cost of t-shirts is 250*2=500 dolar.

600-500=100 dollar is the cost of shorts.

100/4=25 shorts.

250+25=275 is the answer.

Answer 8

First take the total (600) then subtract what he made on shirts (250 x 2 = 500$) and that leave 100$. Devide that by the amount they sell shorts for (4) and you get the total shorts. (25)

Answer 9

Assume dot sells t shirts =A
sells shorts=B
then , A+B=250 or 2A+2B=500
and 2A+4B=600
or 500-2B+4B=600
2B=600-500
2B=100
B=50 and A+B=250 or 50+B=250 or B=200
Dot sells 200 i-shirts and 50 shorts

Answer 10

T-shirts are represented by "x" and shorts by "y". Therefore:

2x + 4y = 600
x + y = 250

Solve for x in either formula:

x + y = 250
x = 250 - y

Replace x in other formula:
2x + 4y = 600
2(250 - y) + 4y = 600
500 - 2y + 4y = 600
500 + 2y = 600
2y = 100
y = 50 (number of shorts sold)

So, 200 t-shirts should have been sold. To check:

2x + 4y = 600
2(200) + 4(50) = 600
400 + 200 = 600

Correct:
x (t-shirts) = 200
y (shorts) = 50