Answer:
(10, 5)
Step-by-step explanation:
Total money to spend = $60
Cost of each plate = $3
Cost of each candlestick = $6
Let number of plates bought = [tex]x[/tex]
Let number of candlesticks bought = [tex]y[/tex]
Total number of items to be bought = 15
Therefore, the first equation can be written as:
[tex]x+y = 15[/tex] ..... (1)
Total money spent on plates = Number of plates bought [tex]\times[/tex] Cost of each plate = $3[tex]x[/tex]
Total money spent on candlesticks = Number of candlesticks bought [tex]\times[/tex] Cost of each candlestick = $6[tex]y[/tex]
Second equation can be written as:
[tex]3x+6y = 60[/tex]
Dividing both sides with 3:
[tex]x+2y=20[/tex] ..... (2)
Subtracting (1) from (2):
[tex]y = 5[/tex]
From equation (1) :
[tex]x = 15-5\\\Rightarrow x = 10[/tex]
Number of plates bought = 10
Number of candlesticks bought = 5
Answer as ordered pair is: (10, 5)
