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2 years ago

12

A shirt boutique purchased 100 new shirts for $1072. The short-sleeved shirts cost $10 each and the long-sleeved shirts cost $12

each. How many short-sleeved shirts were purchased?

2 answers:

ladessa [460]2 years ago

7 0

Answer: 64 short-sleeved shirts were purchased.

Step-by-step explanation: (x = short-sleeved shirts. y = long-sleeved shirts.)

x + y = 100

10x + 12y = 1072

—12(x + y = 100) >>> -12x - 12y = -1200 10x + 12y = 1072 (add the equations and cancel out the 12y)

-2x/-2 (-2 cancels out) = -128/-2 (divide both by -2)

<u>x = 64 shirts purchased for $10 each. (Hope this helped!)</u>

(vvvThis next part doesn’t answer the question, but I should finish the equation.)

(Plug in 64 for x)>>> 64 + y = 100 (then, subtract 64 from both sides) >>> 64 - 64 = 0 (they cancel out) and 100 - 64 = 36

<u>y = 36 shirts purchased for $12 each.</u>

I really hope this helped! :)

Scilla [17]2 years ago

4 0

Answer:

one equation would be S+ L=36for the number of shirts sold.

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