Question

A dress shop sold 150 dresses on sunday with sales receipts of $10000. The plain dresses were sold for fifty dollar each while the dyed dresses were sold for seventy dollar each. how many of each type of dresses were sold?​

Answer 1

Plain dresses =25, and dyed dresses= 125

Explanation:

Let P rep the plain dresses, and D, the dyed ones,

P+D=150........ (i)

50P+ 70D= 10000......(ii)

Using equation i

P=150-D

Replace P in Equation ii

50(150-D)+ 70D =10000

7500-50P+70D=10000

20D= 2500

D= 125

Therefore; P=150-125= 25

Answer 2

plain dresses = 25

dyed dresses =125

Explanation:

number of plain dresses - x

number of dyed dresses - y

X + Y = 150 -------- (1)

50X + 70Y = 10000 ------------ (2)

(2)/50

X + 7/5 Y = 200 ---------- (3)

(3) - (1)

0 + 7/5Y - Y = 50

2Y = 250

Y = 125

; X = 25