A department store sold 63 shirts one day. All short-sleeved shirts cost $15.00 each and all long-sleeved shirts cost $22.00 each. Total receipts for the day were $1,134.00 . How many of each kind of shirt were sold?

Question

A department store sold 63 shirts one day. All short-sleeved shirts cost $15.00 each and all long-sleeved shirts cost $22.00 each. Total receipts for the day were $1,134.00 . How many of each kind of shirt were sold?

Answer 1

number of short-sleeved shirts --- x

number of long-sleeved shirts --- 63-x

15x +22(63-x) = 1134
15x + 1386 - 22x = 1134
-7x = -252
x = 36

so 36 short-sleeved and 27 longsleeved shirts

Answer 2

Short shirt x

Long shirt y

x + y = 63
15x + 22y = 1134

substitute x = 63-y

15(63-y) + 22y = 1134
945 -15y + 22y = 1134
7y = 189

y =27
x = 36

short-sleeved shirts : 27
Long-sleeved shirts: 36

Answer 3

Well, it seems like we've got a case of shirt mathematics here! Let's channel our inner fashionista and solve this puzzle, shall we?

Let's say the number of short-sleeved shirts sold is S, and the number of long-sleeved shirts sold is L. We know that the total number of shirts sold is 63, so we can set up our first equation: S + L = 63.

Now, we also know that short-sleeved shirts cost $15 each, and long-sleeved shirts cost $22 each. The total receipts for the day were $1,134, so we can set up our second equation: 15S + 22L = 1,134.

Now it's time to solve this riddle with a touch of mathematical magic! Let's use the first equation to express S in terms of L. We get S = 63 - L.

Now, substitute S in the second equation: 15(63 - L) + 22L = 1,134.

Let's simplify things a bit: 945 - 15L + 22L = 1,134.

Combining like terms, we get: 7L = 189.

Divide both sides by 7, and we have L = 27.

Now substitute L back into our equation S = 63 - L, and we have S = 63 - 27 = 36.

So, the solution to this fashionable mathematical conundrum is that 36 short-sleeved shirts and 27 long-sleeved shirts were sold.

Hope these numbers don't leave you feeling all tangled up like a pile of mismatched socks!

Answer 4

To solve this problem, we can use a system of equations. Let's define two variables:

Let's call the number of short-sleeved shirts "x" and the number of long-sleeved shirts "y".

Given the information:

1) The store sold a total of 63 shirts, so we can write the equation:
x + y = 63

2) The total receipts for the day were $1,134.00, so we can write the equation:
15x + 22y = 1134

Now we have a system of equations:

x + y = 63
15x + 22y = 1134

To solve this system, there are various methods such as substitution or elimination. Let's use the substitution method here:

From the first equation, we can rewrite it as:
x = 63 - y

Substituting this into the second equation, we get:
15(63 - y) + 22y = 1134

Expanding and simplifying the equation, we get:
945 - 15y + 22y = 1134
7y = 189
y = 27

Now, substitute this value of y back into the first equation to find x:
x + 27 = 63
x = 63 - 27
x = 36

So, there were 36 short-sleeved shirts and 27 long-sleeved shirts sold.